Question

Solve:
$\cos y\frac{dy}{dx}=\sin x$.

Answer 1

$\cos y\frac{dy}{dx}=\sin x$

or,$\cos ydy=\sin xdx$

Integrating both sides we get,

or, $\sin x=-\cos x+c$ [Where $c$ being integrating constant]

or, $\sin x+\cos x=c$.

This is the required solution.