If sin x (dy/dx)+y cos x=x sinx, then (y-1) sin x=

Question

If sin x (dy/dx)+y cos x=x sinx, then (y-1) sin x= (A) c-x sinx (B) c+x cosx (C) c-x cosx (D) c+x sinx

Tardigrade Admin · Accepted Answer

(dy/dx)+(sin x⋅ y)=x sin x ⇒ y sin x=∫ x sin x dx=-x cos x+sin x+c ⇒ (y-1) sin x=c-x cos x.

Q. If $s in x \frac{d y}{d x} + y cos x = x s in x$ , then $(y - 1) s in x =$