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# Solved: In 1–8, decide whether or not the method of ISBN: 9780321747730 43

## Solution for problem 4E Chapter 4.4

Fundamentals of Differential Equations | 8th Edition

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Problem 4E

PROBLEM 4E

In Problems 1–8, decide whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation. Step-by-Step Solution:

Step 1:

In this problem, we have to determine whether the method of undetermined coefficients can be applied to find a particular solution of the given equation.

x’’+5x’-3x=3t

Step 2:

No, we can not find a particular solution of the given equation.

As we know, the method of the undetermined coefficients can be used to find the particular solution for a differential equation of the form

ay’’+by’+cy=Pm(t)ert                      [method to undetermined coefficients]

Where Pm(t) is a polynomial of degree m, use the form

yp(t)=ts(Am tm+...........A1t+A0)ert

If r is not a root of the auxiliary equation then take s=0;

If r is simple root of the auxiliary equation take s=1…

Therefore the particular solution to the differential equation will be

ay’’+by’+cy=Pm(t)e t cos +Qn(t)e t sin where Step 3 of 3

##### ISBN: 9780321747730

The answer to “In 1–8, decide whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation.” is broken down into a number of easy to follow steps, and 23 words. Since the solution to 4E from 4.4 chapter was answered, more than 274 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 4E from chapter: 4.4 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This full solution covers the following key subjects: applied, coefficients, decide, equation, Find. This expansive textbook survival guide covers 67 chapters, and 2118 solutions.

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