Solution Found!
In 13–20, solve the given initial value problem.
Chapter 4, Problem 13E(choose chapter or problem)
In Problems 13-20, solve the given initial value problem.
\(y^{\prime\prime}+2y^{\prime}-8y=0\ ;\ \ y^{\prime}(0)=3,\ y^{\prime}(0)=-12\)
Equation Transcription:
Text Transcription:
y''+2y'-8y=0; y'(0)=3, y'(0)=-12
Questions & Answers
QUESTION:
In Problems 13-20, solve the given initial value problem.
\(y^{\prime\prime}+2y^{\prime}-8y=0\ ;\ \ y^{\prime}(0)=3,\ y^{\prime}(0)=-12\)
Equation Transcription:
Text Transcription:
y''+2y'-8y=0; y'(0)=3, y'(0)=-12
ANSWER:
Solution:
Step 1
In this problem we have to solve the given initial value problem.
We have, ;
General form of second order differential equation is
where,
When function then, second order differential equation is called homogenous form of equation.
Here, therefore this is a homogenous form of second order differential equation.