Q:

Solve $xy'(\cos(2x^3)\cos(x)-\sin(2x^3)\sin(x)) -y(6x^3+x)\sin(2x^3+x)+(12x^3+2x)\sin(2x^3+x)=0$

I need to solve this differential equation. What I'm looking for is a way to simplify this equation. Can anybody give me hints/tricks to understand the following equation better:
\begin{align*}
xy'(\cos(2x^3)\cos(x)-\sin(2x^3)&\sin(x))-y(6x^3+x)\sin(2x^3+x)\\&+(12x^3+2x)\sin(2x^3+x)=0
\end{align*}
Ultimately I want to separate variables and integrate to solve for $y(x)$
Thanks for your help :)
Edit: Please If you can help me solve this differential equation, any help would be appreciated :)
thanks

A:

Note that : $\cos(2x^3)\cos(x)−\sin(2x^3)\sin(x) = \cos(2x^3+x)$

