Solution Found!
Solution: In 21–27, solve the given initial value problem.
Chapter 4, Problem 26E(choose chapter or problem)
QUESTION:
In Problems 21-27, solve the given initial value problem.
\(y^{\prime \prime}-2 y^{\prime}+y=0\) ; \(y(0)=1\) , \(y^{\prime}(0)=-2\)
Equation Transcription:
Text Transcription:
y’’-2y’+y=0
y(0)=1
y’(0)=-2
Questions & Answers
QUESTION:
In Problems 21-27, solve the given initial value problem.
\(y^{\prime \prime}-2 y^{\prime}+y=0\) ; \(y(0)=1\) , \(y^{\prime}(0)=-2\)
Equation Transcription:
Text Transcription:
y’’-2y’+y=0
y(0)=1
y’(0)=-2
ANSWER:
Solution :
Step 1 :
In this problem we have to find the solution of initial value problem.
Given initial value problem is and
and
In this equation auxiliary equation become