1. The problem statement, all variables and given/known data Find the following IVP Diff.Eq. xyy'=x^2+3y^2 y(1)=2 2. Relevant equations 3. The attempt at a solution I've been struggling with this problem for a while now. I believe I have figured out it is homogenous, thus y=ux substitution applies. Through some work I have arrived at the answer of ln x +C=ln(2u^2+1)/4, re-substituting u=y/x I get the answer of y^2= C*x^3-x^2/2 where C=4.5 based on the IVP. When I plot this against the ODE solution in MATLAB, the answers do not agree. Am I wrong that this diff. eqn is homogenous, I believe I have checked my algebra several times. Any help or tips would be great.