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verify that the function satisfy the differential equation

0 votes

verify that the function satisfy the differential equation

asked Jan 21, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The function is image and differential equation is image.

The function is image.

Apply first derivative on each side with respect to image.

image

image

image

image

image

image

Apply second derivative on each side with respect to image.

image

image

image

image

image

Step 2:

The differential equation is image.

Consider image

Substitute image and image in above expression.

 image

Therefore, image.

Solution :

Hence the function satisfies the differential equation image.

answered Jan 21, 2015 by joseph Apprentice

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