Question: pls answer Problem 4a {15 pts) Consider the differential equation 3; 23y + Jig.- = It], where A is a scalar. Find rst four nonzero

pls answer

pls answer Problem 4a {15 pts) Consider the
Problem 4a {15 pts) Consider the differential equation 3;\" 23y" + Jig.- = It], where A is a scalar. Find rst four nonzero terms of the fundamental power series solutions about 3: = 0. If A is a nonnegative even integer, then show that exactly one of the solutions reduces to a polynomial. Problem 4b (5 pts) Show that any power series solution of emy\" + y = 0 about or = 2021 is necessarily analytic on the whole real line

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