Solved: In 35–38, find solutions to the given initial

Chapter 7, Problem 36E

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QUESTION:

In Problems 35–38, find solutions to the given initial value problem.

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

\(y(0)=2, y^{\prime}(0)=1\)

Equation transcription:

Text transcription:

t y^{prime prime}-t y^{prime}+y=2

y(0)=2, y^{prime}(0)=1

Questions & Answers

QUESTION:

In Problems 35–38, find solutions to the given initial value problem.

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

\(y(0)=2, y^{\prime}(0)=1\)

Equation transcription:

Text transcription:

t y^{prime prime}-t y^{prime}+y=2

y(0)=2, y^{prime}(0)=1

ANSWER:

Solution :

Step 1 :

In this problem we have to solve the given initial value problem

Given initial value problem is

Taking the laplace on both side

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