Differential Equations Any equation containing a derivative is called a differential equation.
Exercise unit 1 differential equation (hum3032)
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HUM 3032 2014 EXERCISE : UNIT 1 DIFFERENTIAL EQUATION 1. Determine the order and degree for the following : (a) 0 y 2 yy 3 ) y ( 2 ' 2 ' = + − (b) 0 dx y d ) dx y d ( 3 2 2 2 3 3 = + (c) 0 xy dx dy 2 = + 2. Solve the following by using separable of variables. (a) 2 3 y x dx dy = (b) 1 ) 0 ( y ; y e dx dy x = = (c) ) y 1 ( x 3 dx dy 2 2 + = 3. Solve the following by using the method of Integrating Factor. (a) 6 y 3 dx dy = − (b) x y x 4 dx dy = + (c) 1 ) 2 ( y ; 1 y y xy dx dy = + − = (d) 1 ) 0 ( y ; 2 y 7 dx dy = = −
Transcript of Exercise unit 1 differential equation (hum3032)
HUM 3032 2014
EXERCISE : UNIT 1 DIFFERENTIAL EQUATION
1. Determine the order and degree for the following :
(a) 0y2yy3)y( 2'2' =+−
(b) 0dx
yd)dx
yd(3
2
22
3
3=
+
(c) 0xy
dxdy 2 =+
2. Solve the following by using separable of variables.
(a) 23yx
dxdy
=
(b) 1)0(y;
ye
dxdy x
==
(c) )y1(x3
dxdy 22 +=
3. Solve the following by using the method of Integrating Factor.
(a) 6y3
dxdy
=−
(b) xy
x4
dxdy
=+
(c) 1)2(y;
1yyxy
dxdy
=+−
=
(d) 1)0(y;2y7
dxdy
==−
