Chapter 5, PROBLEM SET 5.4 #5

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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.

Two-parameter ODE

x^{2}y" + xy' + (λ^{2}x^{2} - v^{2})y = 0 (λx = z)

PROBLEM SET 5.2:

PROBLEM SET 5.3:

PROBLEM SET 5.4:

PROBLEM SET 5.5: