Now, let’s solve this equation using series solutions methods. We do so to illustrate how this method works, and to show how the solution obtained via series methods is the same We

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Assume the differential equation has a solution of the form y(x) = ∞ ∑ n = 0anxn. Differentiate the power series term by term to get y′ (x) = ∞ ∑ n = 1nanxn − 1 and y″ (x) = ∞ ∑ n