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solve (cosx tany +cos(x+y))dx + (sin x sec 2 y+cos(x+y))dy=0

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differential equation  topic

solve (cosx tany +cos(x+y))dx + (sin x sec 2 y+cos(x+y))dy=0
asked Mar 11, 2014 in CALCULUS by linda Scholar

1 Answer

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image

It is a first order non linear differential equation and it is in the form image.

Here image

Now  image

           image

Since image, the equation is an exact differential equation.

The general solution of an exact equation is

image

image

image

The solution is image

answered Apr 14, 2014 by Johncena Apprentice

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