1. The problem statement, all variables and given/known data For the following differential equation: 1) Provide the general solution 2) Discuss for which values of x the solution is defined. 3) Find the solution of the initial value problem y(0) = 3 2. Relevant equations dy/dx = (y+3)(y-5) 3. The attempt at a solution 1) so I seperate variables and get (1/8)*(log(y-5)-log(y+3)) = x + C after integration. Now i need to solve for x right? How would I go about doing this? Can't seem to figure out how to rearange. 2) I dont think i can do this until i find the general solution? But once its found do i just find its domain? 3) For this i just substitute the initial values in, solve for C and then place back in equation?