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Find the general solution of the differential equation and check the result by differentiation.

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Find the general solution of the differential equation and check the result by differentiation.

dy/dx = x^3/2
asked Jan 24, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The differential equation is .

Find the general solution by integrating above differential equation.

Apply integration on both sides.

image

image

image

image               Where image is an integration constant.

Check:

image

Apply derivative on both sides with respect to image.

image

image

image

Solution:

The general solution of the differential equation is image.

answered Jan 26, 2015 by cameron Mentor

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