Discuss how the method of reduction of order considered in

Chapter 4, Problem 21E

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QUESTION:

Discuss how the method of reduction of order considered in this section can be applied to the third-order differential equation \(y^{\prime \prime \prime}=\sqrt{1+\left(y^{\prime \prime}\right)^{2}}\). Carry out your ideas and solve the equation.

Text Transcription:

y^prime\prime\prime=sqrt1+y^prime\prime^2

Questions & Answers

QUESTION:

Discuss how the method of reduction of order considered in this section can be applied to the third-order differential equation \(y^{\prime \prime \prime}=\sqrt{1+\left(y^{\prime \prime}\right)^{2}}\). Carry out your ideas and solve the equation.

Text Transcription:

y^prime\prime\prime=sqrt1+y^prime\prime^2

ANSWER:

Step 1 of 3

In this problem, we need to solve the third-order differential equation

         

 

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