Find a general solution to the following higher-order

Chapter 4, Problem 29E

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QUESTION:

Find a general solution to the following higher-order equations.
(a) \(y^{\prime \prime \prime}-y^{\prime \prime}+y^{\prime}+3 y=0\)
(b) \(y^{\prime \prime \prime}+2 y^{\prime \prime}+5 y^{\prime}-26 y=0\)
(c) \(y^{\text {iv }}+13 y^{\prime \prime}+36 y=0\)

Equation Transcription:

Text Transcription:

y’’’-y’’+y’+3y=0

y’’’+2y’’+5y'-26y=0

y^iv+13y’’+36y=0

Questions & Answers

QUESTION:

Find a general solution to the following higher-order equations.
(a) \(y^{\prime \prime \prime}-y^{\prime \prime}+y^{\prime}+3 y=0\)
(b) \(y^{\prime \prime \prime}+2 y^{\prime \prime}+5 y^{\prime}-26 y=0\)
(c) \(y^{\text {iv }}+13 y^{\prime \prime}+36 y=0\)

Equation Transcription:

Text Transcription:

y’’’-y’’+y’+3y=0

y’’’+2y’’+5y'-26y=0

y^iv+13y’’+36y=0

ANSWER:

Solution

Step 1 of 7

In this problem we have to determine the general solution for each of the given differential equation.

Given differential equation

a)

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