Problem-Solving Strategy: Finding Power Series Solutions to Differential Equations. Assume the differential equation has a solution of the form y(x) = ∑∞ n = 0anxn. Differentiate the power
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