Solution Found!
Solved: In 31–33, solve the given initial value problem.
Chapter 6, Problem 31E(choose chapter or problem)
In Problems 31-33, solve the given initial value problem.
\(y^{\prime \prime \prime}+2 y^{\prime \prime}-9 y^{\prime}-18 y=18 x^{2}-18 x+22\):
\(y(0)=2, y^{\prime}(0)=8, y^{\prime \prime}(0)=12\)
Equation transcription:
Text transcription:
y^{prime prime prime}+2 y^{prime prime}-9 y^{prime}-18 y=18 x^{2}-18 x+22
y(0)=2, y^{prime}(0)=8, y^{prime prime}(0)=12
Questions & Answers
QUESTION:
In Problems 31-33, solve the given initial value problem.
\(y^{\prime \prime \prime}+2 y^{\prime \prime}-9 y^{\prime}-18 y=18 x^{2}-18 x+22\):
\(y(0)=2, y^{\prime}(0)=8, y^{\prime \prime}(0)=12\)
Equation transcription:
Text transcription:
y^{prime prime prime}+2 y^{prime prime}-9 y^{prime}-18 y=18 x^{2}-18 x+22
y(0)=2, y^{prime}(0)=8, y^{prime prime}(0)=12
ANSWER:Solution:
Step 1:
In this problem, we need to use the annihilator method to determine the form of a particular solution for the given equation.