The original problem: x(dy/dx)=y+xe^(5y/x)

so far i got...

(dy/dx)=y/x+e^(5y/x)

u=y/x, xu=y therefore x(du/dx)=dy/dx

x(du/dx)=u + e^(5u)

I'm stuck here.

By the way, I'm new and I'm assuming you guys don't just give out solutions so a push in the right direction will do. Thanks