Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr....
Transcript of Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr....
![Page 1: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/1.jpg)
1
ADVANCE MATHMATICS
Rearrange By
Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad
University of Al-Anbar College of Computer Science and Information Technology
October 2019
![Page 2: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/2.jpg)
2
Refrence
&
![Page 3: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/3.jpg)
3
1
2
3
4
5 Linear First Order Differential Equation
6
7
8
9
10 Second Order Differential Equation with Constant
Coefficient
11 Laplace Transform
12 Solving Differential Equation by using Laplace Transform
12 Power Series
13 Solving Differential Equation by using Power Series
14 Fourier series
![Page 4: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/4.jpg)
4
![Page 5: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/5.jpg)
5
![Page 6: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/6.jpg)
6
![Page 7: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/7.jpg)
7
![Page 8: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/8.jpg)
8
Exercises: Find order and degree of the following D.E
![Page 9: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/9.jpg)
9
Exercises: which of the following D.E is linear and non-
linear.
![Page 10: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/10.jpg)
10
![Page 11: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/11.jpg)
11
![Page 12: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/12.jpg)
12
![Page 13: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/13.jpg)
13
![Page 14: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/14.jpg)
14
![Page 15: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/15.jpg)
15
2)
3)
![Page 16: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/16.jpg)
16
![Page 17: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/17.jpg)
17
![Page 18: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/18.jpg)
18
![Page 19: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/19.jpg)
19
![Page 20: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/20.jpg)
20
![Page 21: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/21.jpg)
21
![Page 22: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/22.jpg)
22
![Page 23: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/23.jpg)
23
![Page 24: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/24.jpg)
24
![Page 25: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/25.jpg)
25
![Page 26: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/26.jpg)
26
![Page 27: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/27.jpg)
27
![Page 28: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/28.jpg)
28
![Page 29: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/29.jpg)
29
![Page 30: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/30.jpg)
30
![Page 31: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/31.jpg)
31
![Page 32: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/32.jpg)
32
![Page 33: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/33.jpg)
33
![Page 34: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/34.jpg)
34
![Page 35: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/35.jpg)
35
![Page 36: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/36.jpg)
36
![Page 37: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/37.jpg)
37
![Page 38: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/38.jpg)
38
![Page 39: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/39.jpg)
39
![Page 40: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/40.jpg)
40
![Page 41: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/41.jpg)
41
![Page 42: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/42.jpg)
42
![Page 43: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/43.jpg)
43
![Page 44: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/44.jpg)
44
![Page 45: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/45.jpg)
45
![Page 46: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/46.jpg)
46
![Page 47: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/47.jpg)
47
![Page 48: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/48.jpg)
48
Example 1)
Example 2)
![Page 49: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/49.jpg)
49
Example 1)
![Page 50: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/50.jpg)
50
Example2)
![Page 51: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/51.jpg)
51
![Page 52: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/52.jpg)
52
![Page 53: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/53.jpg)
53
![Page 54: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/54.jpg)
54
![Page 55: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/55.jpg)
55
Exercises
![Page 56: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/56.jpg)
56
![Page 57: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/57.jpg)
57
![Page 58: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/58.jpg)
58
![Page 59: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/59.jpg)
59
![Page 60: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/60.jpg)
60
![Page 61: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/61.jpg)
61
![Page 62: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/62.jpg)
62
![Page 63: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/63.jpg)
63
![Page 64: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/64.jpg)
64
![Page 65: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/65.jpg)
65
![Page 66: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/66.jpg)
66
Solution
Exercises
![Page 67: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/67.jpg)
67
Table
![Page 68: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/68.jpg)
68
![Page 69: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/69.jpg)
69
![Page 70: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/70.jpg)
70
Exercises
![Page 71: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/71.jpg)
71
Example1
Example2
Example3
![Page 72: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/72.jpg)
72
![Page 73: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/73.jpg)
73
![Page 74: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/74.jpg)
74
![Page 75: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/75.jpg)
75
![Page 76: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/76.jpg)
76
![Page 77: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/77.jpg)
77
![Page 78: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/78.jpg)
78
![Page 79: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/79.jpg)
79
![Page 80: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/80.jpg)
80
![Page 81: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/81.jpg)
81
![Page 82: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/82.jpg)
82
![Page 83: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/83.jpg)
83
![Page 84: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/84.jpg)
84
![Page 85: Dr. Makarim Abdulwahid Al Turky Dr. Abdullah Mohammed Al ...1 ADVANCE MATHMATICS Rearrange By Dr. Makarim Abdulwahid Al_Turky Dr. Abdullah Mohammed Al_Awad University of Al-Anbar College](https://reader036.fdocuments.us/reader036/viewer/2022070219/6129ee8b596d4a07ba2a7c2d/html5/thumbnails/85.jpg)
85