Solution Found!
Answer: In 1–14, solve the given initial value problem
Chapter 7, Problem 4E(choose chapter or problem)
In Problems 1–14, solve the given initial value problem using the method of Laplace transforms.
\(y^{\prime \prime}+6 y^{\prime}+5 y=12 e^{t}\);
\(y(0)=1, y^{\prime}(0)=7\)
Equation transcription:
Text transcription:
y^{prime prime}+6 y^{prime}+5 y=12 e^{t}
y(0)=1, y^{prime}(0)=7
Questions & Answers
QUESTION:
In Problems 1–14, solve the given initial value problem using the method of Laplace transforms.
\(y^{\prime \prime}+6 y^{\prime}+5 y=12 e^{t}\);
\(y(0)=1, y^{\prime}(0)=7\)
Equation transcription:
Text transcription:
y^{prime prime}+6 y^{prime}+5 y=12 e^{t}
y(0)=1, y^{prime}(0)=7
ANSWER:Solution :
Step 1 of 3 :
In this problem, we need to solve the given initial value problem using the method of Laplace transforms.
y’’ + 6 y’ + 5 y = 12
y(0) = -1 , y’(0) = 7