Question

Find $\frac{dy}{dx}$, if $2x+3y=\sin x$.

Answer 1

$2x+3y=\sin x$

Differentiating w.r.t x, we get,

$2+3\frac{dy}{dx}=\cos x$

$3\frac{dy}{dx}=\cos x-2$

$\frac{dy}{dx}=\frac{\cos x-2}{3}$