Answer: In 27–32, determine the form of a particular

Chapter 4, Problem 32E

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QUESTION:

In Problems , determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.)

    \(y^{\prime \prime}-y^{\prime}-12 y=2 t^{6} e^{-3 t}\)

Equation Transcription:

Text Transcription:

y’’-y’-12y=2t^6e^-3t


Questions & Answers

QUESTION:

In Problems , determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.)

    \(y^{\prime \prime}-y^{\prime}-12 y=2 t^{6} e^{-3 t}\)

Equation Transcription:

Text Transcription:

y’’-y’-12y=2t^6e^-3t


ANSWER:

Solution :

Step 1 :

In this problem we have to determine the form of a particular solution for the given differential equation.

Now the auxiliary equation for the corresponding homogeneous equation is

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