  # Power series solution to differential equation

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If you need assistance, our customer service team is happy to help. 7.4 Series Solutions of Differential Equations

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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## Solving Differential Equations Using Power Series

6.2: The Power Series Method 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 ## Our clients love us Big thanks to the person who made this. But ofc if you want the math explained you need to pay, also because I prefer self studying STEM subjects, So you cannot imagine the absolute JOY I experienced when I stumbled upon your app! Instant download and instant 5 stars! I really like that you guys also have the calculator so I can type in the problems instead of photographing it. Howard Sheehan I cannot even explain how much this app satisfies my expectations ,it helped me through the worst of my mathematical problems,it not only gives you the answer but it also has a built in special calculator that can unravel the most complicated equations and it even shows you where you made your mistake and each of the steps should you take. Alfredo Williamson

## Using Series to Solve Differential Equations

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

## Differential Equations

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

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