Separating the variables or some other way?
I'm being confused by a differential equation problem. Solve:
(2x + 4x^2) dy/dx = e^y
My approach has been to transfer the function of x to the right i.e. 1/it and then the e^y to the right yielding e^-y, and then the usual separating the variables method with partial fractions to integrate the right hand side. However, to find y, I ultimately end up with the log of a log, and I was wondering if this is bad news, and whether I should perhaps be using an entirely different method.
Any help appreciated.