Alright so I have this equation and I need to solve it using the separable equation method ...

sin(x)dy/dx + ycos(x) = xsin(x)

I tried to separate the equation and got this ...

(1/y)dy = cos(x)/(sin(x)-xsin(x))dx

but I cannot integrate the right side of the equation. I am not sure if I separated them incorrectly or if I am missing something on integrating it.

Any help is appreciated!