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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16.4, Problem 21E

Textbook Problem

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Verifying that a Series Converges In Exercises 21-24, use the power series solution of the differential equation to verify that the series converges to the given function on the indicated interval.

Differential equation:

To determine

**To prove:** That the series

**Given information:**

The differential equation

**Proof:**

Let

Then,

Substituting the value of *y* and

Now, equate the coefficients of the like terms to obtain the recursionformula.

This implies that

Multivariable Calculus

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