This is just a sample of such ODEs; some more follow in the next problem set. Find a general solution in terms of Jv and J-v or indicate when this is not possible. Use the indicated substitutions. Show the details of your work.
x2y" + (1 - 2v )xy' + v2(x2v + 1 - v2)y = 0 (y = xvu, xv = z)