# 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. y + (e -2x - 1/9)y = 0 (e -x = z)

Chapter 5, PROBLEM SET 5.4 #4

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.

y" + (e^{-2x }- 1/9)y = 0 (e^{-x} = z)

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