In 1 –14 find the general solution of the given

Chapter 4, Problem 8E

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QUESTION:

In Problems 1–14 find the general solution of the given second-order differential equation.

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

Text Transcription:

y^{\prime \prime}+4 y^{\prime}-y=0

Questions & Answers

QUESTION:

In Problems 1–14 find the general solution of the given second-order differential equation.

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

Text Transcription:

y^{\prime \prime}+4 y^{\prime}-y=0

ANSWER:

Step 1 of 4

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  homogeneous form of equation.

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

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