# 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. x 2 y + 6xy' + (4x 2 + 6)y = 0

Chapter 5, PROBLEM SET 5.3 #12

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.

x^{2}y" + 6xy' + (4x^{2} + 6)y = 0

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