I am having alot of trouble remembering how to do this and this is a practice question for my final if you could help that would be great. Solve the differential equation (dy/dx)=(3x)/(1-x^2)

Question

I am having alot of trouble remembering how to do this and this is a practice question for my final if you could help that would be great.  Solve the differential equation (dy/dx)=(3x)/(1-x^2)

drwls · Answer

dy = (3x)/(1-x^2) dx y = Integral of [3x/(1-x^2)] dx + constant For the integration, let 1-x^2 = u -2x dx = du Which make the integral Integral of (-3/2)du/u = -(3/2)ln(1-x^2)