Differential Equations -...

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Differential Equations 1

Transcript of Differential Equations -...

Page 1: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

Differential Equations

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Page 2: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

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Page 3: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

Homogeneous linear differential equation

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Page 4: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

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Page 5: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

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Page 6: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

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Page 7: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

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Page 8: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

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Page 9: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

Non-Homogeneous differential equation

• A non-homogeneous differential equation is one in which the forcing function is not identically zero for all t.

• Obtain the solution x(t) of an equation with constant coefficients

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Page 10: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

Continue......

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Page 11: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

Continue..

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Page 12: Differential Equations - ggn.dronacharya.infoggn.dronacharya.info/.../NT/Section-A/Lecture-10.pdf · differential equations consist of exponential terms of the form CiePít. To obtain

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