The folowing equations are a mixture of linear, separable, Bernoulli and homogeneous
equations. Identify the equation and find the general solution.

I am not sure what to do with that e^(y/x). Iv tried to get it into the form of a linear differential equation or a bernoulli equation or a seperable equation but that e^(y/x) has me dead in my tracks. What should I be doing?

It's homogenous: $\displaystyle \tfrac{\mathrm dy}{\mathrm dx} = e^{\tfrac y x} + \tfrac y x$ . Set $\displaystyle v=\tfrac y x$ and substitute.