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Series Solutions of Ordinary Differential Equations For the following problems solve the given differential equation by...

Series Solutions of Ordinary Differential Equations For the following problems solve the given differential equation by means of a power series about the given point x0. Find the recurrence relation; also find the first four terms in each of two linearly independed sollutions (unless the series terminates sooner). If possible, find the general term in each solution.

y"+k2x2y=0, x0=0, k-constant

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