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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16.4, Problem 19E

Textbook Problem

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Investigation Consider the differential equation

with the initial conditions

Find the series solution satisfying the initial conditions.

Use a graphing utility to graph the third-degree and fifth-degree series approximations of the solution. Identify the approximations.

Identify the symmetry of the solution.

**(a)**

To determine

**To calculate:** The series solution of the differential equation

**Given information:**

The given differential equation is

**Formula used:**

For

**Calculation:**

For

Because

**(b)**

To determine

**To graph:** Draw the graph of third degree and fifth degree series using graphical utility

**(c)**

To determine

Whether the solution

Multivariable Calculus

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