Solution Found!
Answer: In 5–10, find a general solution to the given
Chapter 6, Problem 8E(choose chapter or problem)
QUESTION:
In Problems 5-10, find a general solution to the given equation.
\(y^{\prime \prime \prime}+y^{\prime \prime}-2 y=x e^{x}+1\)
Equation Transcription:
Text Transcription:
y'''+y''-2y=xe^x+1
Questions & Answers
QUESTION:
In Problems 5-10, find a general solution to the given equation.
\(y^{\prime \prime \prime}+y^{\prime \prime}-2 y=x e^{x}+1\)
Equation Transcription:
Text Transcription:
y'''+y''-2y=xe^x+1
ANSWER:
Solution
In this question we have to find the general solution of the equation
Step 1
Here the given equation is
The auxiliary equation is
=>
So as solutions
Thus the homogeneous solution of the equation is