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 Jv and J-v or indicate when this is not possible. Use the indicated substitutions. Show the details of your work.
x2y" + xy' + 1/4 (x2 - 1)y = 0 (x = 2z)
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Answer
We know that the Euler equations are, x\' = Jv - 2J-v y" y\' = -Jv + J-v x" z\' = -J-v y + Jv x" Mul…View the full answer
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