Chapter 5, PROBLEM SET 5.3 #5

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Find a basis of solutions by the Frobenius method. Try to identify the series as expansions of known functions. Show the details of your work.

xy" + (2x + 1)y' + (x + 1)y = 0

PROBLEM SET 5.2:

PROBLEM SET 5.3:

PROBLEM SET 5.4:

PROBLEM SET 5.5: