Hey everyone, I'm a long-time visitor, it's my first time posting though. I have a hw problem that is causing me considerable consternation: (y^3)*(dy/dx)=(8y^4+14)*cos(x); y(0)=C Oh, and we're supposed to solve the initial-value problem, and then solve for the particular solution in the form (y^4)=... I first used separation of variables and then integrated to get: (y^4) = (1/4)*Ce^(32sin(x))-(7/4) Now that I've solved for the general initial-value equation, I don't know where to go from here. The only way I could think to solve for C is to plug in 0 for x, and C for y--giving you: (C^4)=(1/4)*C*(e^0)-(7/4) C=((1/4)-(7/4))^(1/3) As this is a non-real answer, I cannot figure out where I went wrong. Also, I was told that we would not need to use complex numbers for any of these hw problems.