# This is just a sample of such ODEs; some more follow in the next problem set. Find a general solution in terms of J v and J -v or indicate when this is not possible. Use the indicated substitutions. Show the details of your work. x 2 y + (1 - 2v )xy' + v 2 (x 2v + 1

Chapter 5, PROBLEM SET 5.4 #10

This is just a sample of such ODEs; some more follow in the next problem set. Find a general solution in terms of J_{v }and J_{-v }or indicate when this is not possible. Use the indicated substitutions. Show the details of your work.

x^{2}y" + (1 - 2v)xy' + v^{2}(x^{2v} + 1 - v^{2})y = 0 (y = x^{v}u, x^{v} = z)

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