1. The problem statement, all variables and given/known data I'd like to solve the following non-homogeneous second order differential equation and may I ask smart scholars out there to help me with this? y"(1-1.5(y')^2)=Cx^n, (^ denotes "to the power of") where C and n are constants, and the boundary conditions are: y=0 at x=0, y'=0 at x=L/2 (L is between 100 and 200). Thanks. 2. Relevant equations 3. The attempt at a solution Indtroducing v=y', the equation becomes v'(1.0-1.5v^2)=Cx^n Integration of the above equation provides (v-0.5v^3)=nCx^(N+1)-const. Employing v=0 at x=L/2, const=nC(L/2)^(n+1), and the equation becomes v-0.5v^3=nCx^(n+1)+nC(L/2)^(n+1) I can't go any further.