In 9–20, find a general solution.

Chapter 4, Problem 9E

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QUESTION:

In Problems 9-20, find a general solution.

\(y^{\prime \prime}+4 y^{\prime}+8 y=0\)

Equation Transcription:

Text Transcription:

y’’+4y’+8y=0

Questions & Answers

QUESTION:

In Problems 9-20, find a general solution.

\(y^{\prime \prime}+4 y^{\prime}+8 y=0\)

Equation Transcription:

Text Transcription:

y’’+4y’+8y=0

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.

Here,  therefore this is a homogenous form of second order differential equation.

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