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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16.3, Problem 25E

Textbook Problem

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Method of Variation of Parameters In Exercises 23–28, solve the differential equation by the method of variation of parameters.

To determine

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

**Given information:**

The given differential equation is

**Concept Used:**

To find the general solution of the equation

Find

Replace the constants by variables to form

Solve the following system for

Integrate to find

**Calculation:**

The characteristics equation is

First, we have to find the solution of the characteristics equation

Therefore,

Replacing *C*_{1} and *C*_{2} by *u*_{1} and *u*_{2} gives

Multiplying the first equation by 2sin 2*x* and the second by cos2*x* gives

Multivariable Calculus

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