[Ok so I have transformed a 1st order homogenous ODE into a seperable ODE. However I am having trouble seperating to get y on it's own. Here's the problem: du/dx=(2u^2)/x where u = y/x du/(2u^2)=dx/x <<can't get tex to work -1/(4u^2)=ln(x)+C=ln(Ax) <<can't get tex to work 1=-4u^2ln(Ax) 1=-4(y^2/x^2)ln(Ax) y^2=-4x^2ln(Ax) y=i2xsqrt(lnAx) Is this algebra correct? Is this the right solution? I'm not sure about bringing the y^2 over to the left is ok.