In 9–26, find a particular solution to the

Chapter 4, Problem 21E

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QUESTION:

In Problems 9-26, find a particular solution to the differential equation.
    \(x^{\prime \prime}(t)-4 x^{\prime}(t)+4 x(t)=t e^{2 t}\)

Equation Transcription:

Text Transcription:

x’’(t)-4x’(t)+4x(t)=te^2t

Questions & Answers

QUESTION:

In Problems 9-26, find a particular solution to the differential equation.
    \(x^{\prime \prime}(t)-4 x^{\prime}(t)+4 x(t)=t e^{2 t}\)

Equation Transcription:

Text Transcription:

x’’(t)-4x’(t)+4x(t)=te^2t

ANSWER:

Solution

In this solution we have to find the particular solution of  .

Step 1

Given that

 

As prior to example in textbook we compute

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