I need to solve this differential equation. YWhat I'm looking for is a way to simplify this equation. Can anybody give me hints/tricks to understand the following equation better:
$$xy'(\cos(2x^3)\cos(x)-\sin(2x^3)\sin(x)) - $$ $$y(6x^3+x)\sin(2x^3+x)$$ $$+(12x^3+2x)\sin(2x^3+x)=0$$
Ultimately I want to seperate 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