In 17–22, find a general solution to the differential

Chapter 4, Problem 18E

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QUESTION:

In Problems 17-22, find a general solution to the differential equation.
    \(y^{\prime \prime}-2 y^{\prime}-3 y=3 t^{2}-5\)                

Equation Transcription:

Text Transcription:

y’’-2y’-3y=3t^2-5

Questions & Answers

QUESTION:

In Problems 17-22, find a general solution to the differential equation.
    \(y^{\prime \prime}-2 y^{\prime}-3 y=3 t^{2}-5\)                

Equation Transcription:

Text Transcription:

y’’-2y’-3y=3t^2-5

ANSWER:

Solution:

Step 1

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

General form of second order differential equation is

  where,

When function then, second order differential equation is called  homogenous form of equation.

But here,  therefore this is not a homogenous form of second order differential equation.

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