Answer: In 5–10, find a general solution to the given

Chapter 6, Problem 8E

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QUESTION:

In Problems 5-10, find a general solution to the given equation.

\(y^{\prime \prime \prime}+y^{\prime \prime}-2 y=x e^{x}+1\)

Equation Transcription:

Text Transcription:

y'''+y''-2y=xe^x+1

Questions & Answers

QUESTION:

In Problems 5-10, find a general solution to the given equation.

\(y^{\prime \prime \prime}+y^{\prime \prime}-2 y=x e^{x}+1\)

Equation Transcription:

Text Transcription:

y'''+y''-2y=xe^x+1

ANSWER:

Solution

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

Step 1

Here the given equation is

The auxiliary equation is

=>

So  as solutions

Thus the homogeneous solution of the equation is

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