# First-Order Constant-Coefficient Equations.(a)

## Problem 21E Chapter 4.2

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition

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Problem 21E

PROBLEM 21E

First-Order Constant-Coefficient Equations.

(a) Substituting y = ert, find the auxiliary equation for the first-order linear equation

where a and b are constants with a ≠ 0.

(b) Use the result of part (a) to find the general solution

Step-by-Step Solution:

In this question we have to find the general solution of  where

Step 1 </p>

We will find the solutions in the form

(a)

Auxiliary equation  for

Step 2 of 2

##### ISBN: 9780321747730

Since the solution to 21E from 4.2 chapter was answered, more than 244 students have viewed the full step-by-step answer. This full solution covers the following key subjects: equation, order, Find, general, auxiliary. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. The answer to “First-Order Constant-Coefficient Equations.(a) Substituting y = ert, find the auxiliary equation for the first-order linear equation where a and b are constants with a ? 0.(b) Use the result of part (a) to find the general solution” is broken down into a number of easy to follow steps, and 37 words. The full step-by-step solution to problem: 21E from chapter: 4.2 was answered by , our top Math solution expert on 07/11/17, 04:37AM. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8th.

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