7.4 Series Solutions of Differential Equations

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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Series Solutions to Differential Equations Calculator

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