Find the general solution to
The solution is
How is this obtained?
I solved the first part:
Should that be in the integral the partial derivative or just derivative?
I think of this problem as find the solution such that
As you only have a partial with respect to the same variable then the solution is similar to that of a 2nd order ODE. I.e has the solution and
The difference in your problem is that and need to be introduced but are constant with respect to