Answer: In 3–8, determine whether the given function is a

Chapter 1, Problem 7E

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QUESTION:

\(y=3\sin2x+e^{-x},\ \ y^{\prime\prime}+4y=5e^{-x}\)

Equation Transcription:

Text Transcription:

y=3 sin 2x+e^-x, y"+4y=5e^-x

Questions & Answers

QUESTION:

\(y=3\sin2x+e^{-x},\ \ y^{\prime\prime}+4y=5e^{-x}\)

Equation Transcription:

Text Transcription:

y=3 sin 2x+e^-x, y"+4y=5e^-x

ANSWER:

Solution:

Step 1:

In this question we have to determine whether the given function is a solution to the given differential equation.

Given Equation is:

……..Eq(i)

Now, let us take the differentiation in term of x

So,

 

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