Question
What is the general solution of the differential equation $e ^{ y ^{\prime}}= x ?$

Answer

The given differential equation $e^{y^{\prime}}=x$
$\Rightarrow \frac{d y}{d x}=\log x$
$ d y=\log x d x=>\int d y=\int \log x d x$
$y=x \log x-x+c$
hence the correct option is $(B).$

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