Solution Found!
Two roots of a cubic auxiliary equation with real
Chapter 4, Problem 60E(choose chapter or problem)
QUESTION:
Find the general solution of \(2 y^{\prime \prime \prime}+7 y^{\prime \prime}+4 y^{\prime}-4 y=0\) if \(m_{1}=\frac{1}{2}\).
Text Transcription:
2 y^{\prime \prime \prime}+7 y^{\prime \prime}+4 y^{\prime}-4 y=0
m_{1}=\frac{1}{2}
Questions & Answers
QUESTION:
Find the general solution of \(2 y^{\prime \prime \prime}+7 y^{\prime \prime}+4 y^{\prime}-4 y=0\) if \(m_{1}=\frac{1}{2}\).
Text Transcription:
2 y^{\prime \prime \prime}+7 y^{\prime \prime}+4 y^{\prime}-4 y=0
m_{1}=\frac{1}{2}
ANSWER:Step 1 of 4
We have the third order differential equation with the root , and we have to obtain its general solution as the following technique :