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

Chapter 6, Problem 6E

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QUESTION:

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

$$y^{\prime \prime \prime}+y^{\prime \prime}-5 y^{\prime}+3 y=e^{-x}+\sin x$$

Equation Transcription:

Text Transcription:

y'''+y''-5y'+3y=e^-x+sin x

Questions & Answers

QUESTION:

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

$$y^{\prime \prime \prime}+y^{\prime \prime}-5 y^{\prime}+3 y=e^{-x}+\sin x$$

Equation Transcription:

Text Transcription:

y'''+y''-5y'+3y=e^-x+sin x

ANSWER:

Solution:

Step 1:

In this problem we need find a general solution to the equation

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