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# Series Derivative

## Prompt

** “Write the first 5 terms of y”(x).” **

where y”(x) is the second derivative of y(x) expanded as a series solution.

## Context

This SWBQ helps students to see what happens to a power series when derivatives are taken as a lead-in to reindexing a sum.

## Wrap Up

After the terms have been written, discuss how the terms can be reindexed so that the sum has the same powers of x^{n} as other sums in the differential equation.