Question

If $2x+3y=\sin y$, find $\frac{dy}{dx}$

Answer 1

$2x+3y=siny$

$2\frac{dx}{dx}+3\frac{dy}{dx}=cosy\frac{dy}{dx}$

$2=(cosy-3)\frac{dy}{dx}$

$\Rightarrow \frac{dy}{dx}=\frac{2}{cosy-3}$