Chapter 5, PROBLEM SET 5.4 #8

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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.

(2x + 1)^{2}y" + 2(2x + 1)y' + 16x(x + 1)y = 0 (2x + 1 = z)

PROBLEM SET 5.2:

PROBLEM SET 5.3:

PROBLEM SET 5.4:

PROBLEM SET 5.5: