Hey all, this is a little confusing, because the "variation of parameters" that I have been taught in class is different then what I find in most texts... I have y''' + y' = tan(x) Most textbooks use the wronskian and work from there, what I was taught to do is set it up as the characteristic eqn, and then factoring it I get solutions r = 0, -i , + i (Side question, may I set up my solution as: y= C1 + C2sin(x) + C3cos(x) + C4 e^ix + C5 e^ - ix ? or must it be something like... y= C1 +C2 e^ix + C3 e^ - ix + C4 xe^ix + C5 xe^ - ix ? ) Anyways, then when we take the derivatives, we end up with a system of equations, where the sum of each term with a derivative of a constant = 0, and the last expression = tan x But solving these is difficult... HELP!!