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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16.2, Problem 45E

Textbook Problem

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Finding a Particular Solution: Boundary ConditionsIn Exercises 45-50, find the particular solution of the linear differential equation that satisfies the boundary conditions.

To determine

**To calculate:** The particular solution of the linear differential equation that satisfies the given boundary condition.

**Given information:**

The given linear differential equation is

The initial boundary condition are

**Calculation:**

The characteristics equation is

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

Here,

Therefore, the general solution of the given linear differential equation is

Now, use the initial boundary condition

Again, use the initial boundary condition

Multivariable Calculus

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