Answer
\[x\sin y-e^x=c\]
Work Step by Step
$x\sin y-e^x=c$ ______(1)
Differentiate (1) with respect to $x$ treating $y$ as function of $x$
$\sin y+x\cos y\cdot\frac{dy}{dx}-e^{x}=0$
\[\frac{dy}{dx}=\frac{e^x-\sin y}{x\cos y}\]
hence (1) is implicit solution of the differential equation $\frac{dy}{dx}=y'=\frac{e^x-\sin y}{x\cos y}$
