Solution Found!
Discuss how the method of reduction of order considered in
Chapter 4, Problem 21E(choose chapter or problem)
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