In 41 through 43, find general solutions to the

Chapter 4, Problem 42E

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QUESTION:

In Problems 41 through 43, find general solutions to the nonhomogeneous Cauchy-Euler equations using variation of parameters.

     \(t^{2} y^{\prime \prime}+3 t y^{\prime}+y=t^{-1}\)

Equation Transcription:

Text Transcription:

t^2y''+3ty'+y=t-1

Questions & Answers

QUESTION:

In Problems 41 through 43, find general solutions to the nonhomogeneous Cauchy-Euler equations using variation of parameters.

     \(t^{2} y^{\prime \prime}+3 t y^{\prime}+y=t^{-1}\)

Equation Transcription:

Text Transcription:

t^2y''+3ty'+y=t-1

ANSWER:

Solution:

Step 1

In this problem we have to find general solution to the differential equation.

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