Solved: In 1–8, decide whether or not the method of

Chapter 4, Problem 3E

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QUESTION:

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.

$$2 y^{\prime \prime}(x)-6 y^{\prime}(x)+y(x)=(\sin x) / e^{4 x}$$

Equation Transcription:

Text Transcription:

2y prime prime (x) - 6y prime (x) + y(x) = (sinx)/e^4x

Questions & Answers

QUESTION:

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.

$$2 y^{\prime \prime}(x)-6 y^{\prime}(x)+y(x)=(\sin x) / e^{4 x}$$

Equation Transcription:

Text Transcription:

2y prime prime (x) - 6y prime (x) + y(x) = (sinx)/e^4x

ANSWER:

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.

                                    2 y’’(x)-6y’(x)+y(x)=sin x e-4x 

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