In mathematics, the power series method is used to seek a power series solution to certain differential equations. In general, such a solution assumes a power series with unknown

Let us solve the differential equation y'' = y by Power Series Method. Let y = ∞ ∑ n=0cnxn, where cn is to be determined. By taking derivatives term by term, y' = ∞ ∑ n=1ncnxn−1

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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

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