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$The solution of differential equation y d x - (1 + e^{- x} y^{2}) d y = 0 is$

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eyx=y+c

ex=y2+cy

ey=y2+cx

ex=y2+cx

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detailed solution

Correct option is B

ydx−dy=e−xy2dyex(ydx−dy)y2=dy⇒dexy=dy integrations both sides ex=y2+cy

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The solution of differential equation ydx−1+e−xy2dy=0 is

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$The solution of differential equation y d x - (1 + e^{- x} y^{2}) d y = 0 is$