1. The problem statement, all variables and given/known data Find the general solution to the differential equation: 2. Relevant equations Separation of variables for solving 1st order separable differential equation. 3. The attempt at a solution Using separation of variables, I can write: My questions are: 1) Am I correct to restrict the arbitrary constant, such that C≠e^–x? I'm doing so to avoid division by zero. 2) Since I initially restricted y such that y≠0; a) How do I restrict my arbitrary constant to reflect this initial restriction on y? b) Should I consider the case of y=0 separately to check if it's a solution? c) If so, am I right to conclude that since I cannot arrange the RHS to be equal to zero, y=0 is NOT a solution? 4) In general, how does one deal with arbitrary constants on the denominator? I've played around in search of simpler way to express my solution, but can't find one.