In 27–32, determine the form of a particular solution for

Chapter 4, Problem 27E

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QUESTION:

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

                                \(y^{\prime \prime}+9 y=4 t^{3} \sin 3 t\)

Equation Transcription:

Text Transcription:

y''+9y=4t^3 sin⁡ 3t

Questions & Answers

QUESTION:

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

                                \(y^{\prime \prime}+9 y=4 t^{3} \sin 3 t\)

Equation Transcription:

Text Transcription:

y''+9y=4t^3 sin⁡ 3t

ANSWER:

SOLUTION

Step 1

We have to determine the particular solution of  

Given equation is second order linear nonhomogeneous equation.

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