Question: Consider the following ODE, which has a regular singular point at x = 0: x2y + xy + ( x2 1 4 ) y =

Consider the following ODE, which has a regular singular point at x = 0: x2y + xy + ( x2 1 4 ) y = 0 (1) Show that the roots r1, r2 differ by 1, but that there are two Frobenius series solutions. Find the first 3 non trivial terms of these two solutions

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