- 12. Use the Frobenius method to find the general solution of xy" + 2y' – xy = 0 for x > 0. Notice that the indicial ro

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12 Use The Frobenius Method To Find The General Solution Of Xy 2y Xy 0 For X 0 Notice That The Indicial Ro 1 (63.58 KiB) Viewed 27 times

12 Use The Frobenius Method To Find The General Solution Of Xy 2y Xy 0 For X 0 Notice That The Indicial Ro 2 (70.42 KiB) Viewed 27 times

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- 12. Use the Frobenius method to find the general solution of xy" + 2y' – xy = 0 for x > 0. Notice that the indicial roots differ by an integer, but we can still find two linearly independent series solutions about x = = 0.

X α2n+1 9 = Cin-1Σ + C2-1Σ (2n + 1)! -1 = α' (C, sinh(α) + C, cosh(α)) n=0 (2η)! n=0