# 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 + xy' + 1/4 (x 2 - 1)y = 0 (x =

Chapter 5, PROBLEM SET 5.4 #7

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" + xy' + 1/4 (x^{2} - 1)y = 0 (x = 2z)

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