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Question: problem 2 submit power series solution consider the follow ing...

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Problem 2 (Submit): (Power series solution): Consider the follow- ing linear ODEs: a. Use the methods you learned for solving ODEs to solve equations (1) b. Expand the solutions to (1) and (2) as Taylor series about the point c. Now for each of equations (1) and (2) assume a power series solution and (2) of the form obtain a recursion for the coefficients an. Use these recursions to determine the series representation of each solution. Compare these results to the se- ries obtained in part b above
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