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Solve the differential equation.

0 votes

Solve the differential equation.

 

asked Jan 31, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The differential equation is image.

Divide on each side by image.

image.

image.

Above equation is in the form of first order differential equation image.

Here  image and image.

These kind of equations can be solved by multiplying on each side with integrating factor image and integrating on each side.

Step 2:

Integrating factor image.              (Since image)

image

Multiply on each side by image.

image

image

image                          (Since image)

Integrate on each side with respect to image.

image

image

image

Divide on each side by image.

image

image.

Solution:

Solution of the differential equation image is image.

answered Feb 1, 2015 by cameron Mentor

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