The solution of differential equation 2 y sin x d y+(y2 cos x+2 x) d x=0 is

Question

The solution of differential equation 2 y sin x d y+(y2 cos x+2 x) d x=0 is (A) y2 sin x=x2+c (B) y2 sin x=-x2+c (C) y2= sin x+c (D) y2= cos x+c

Tardigrade Admin · Accepted Answer

2 y sin x d y+(y2 cos x+2 x) d x=0 ⇒ d(y2 sin x)+2 x d x=0 ⇒ y2 sin x=-x2+c

Q. The solution of differential equation $2 y sin x d y + (y^{2} cos x + 2 x) d x = 0$ is