Power series solution to differential equation
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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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This article covers power series solutions of linear differential equations, recurrence relations, linear algebra, theorems, corollaries, applications, and the Cauchy-Euler equation.