Solution Found!
In 21 and 22, devise a modification of the method for
Chapter 4, Problem 22E(choose chapter or problem)
In Problems 21 and 22, devise a modification of the method for Cauchy–Euler equations to find a general solution to the given equation.
\((t+1)^{2} y^{\prime \prime}(t)+10(t+1) y^{\prime}(t)+14 y(t)=0\) , \(t>-1\)
Equation Transcription:
Text Transcription:
(t+1)2y''(t)+10(t+1)y'(t)+14y(t)=0
t>-1
Questions & Answers
QUESTION:
In Problems 21 and 22, devise a modification of the method for Cauchy–Euler equations to find a general solution to the given equation.
\((t+1)^{2} y^{\prime \prime}(t)+10(t+1) y^{\prime}(t)+14 y(t)=0\) , \(t>-1\)
Equation Transcription:
Text Transcription:
(t+1)2y''(t)+10(t+1)y'(t)+14y(t)=0
t>-1
ANSWER:
SOLUTION
Step 1
In this problem, we are asked to find a general solution to the given equation by devising any modified method for Cauchy Euler equations.
…(1)