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The solution of the differential equation $x d (x y) = \frac{f (x y)}{f^{1} (x y)} d x$ is

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fxy=cx

fxy=cy

fx/y=cx

fy/x=cy

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detailed solution

Correct option is A

Given equation can be re written as f1xyfxydxy=1xdxIntegrate both sides we get ⇒lnfxy=lnx+lnc ⇒fxy=cx

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The solution of the differential equation xdxy=fxyf1xydx is

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The solution of the differential equation $x d (x y) = \frac{f (x y)}{f^{1} (x y)} d x$ is