Solution Found!
Answer: In 1–7, convert the given initial value problem
Chapter 5, Problem 1E(choose chapter or problem)
In Problems 1-7, convert the given initial value problem into an initial value problem for a system in normal form.
\(y^{\prime \prime}(t)+t y^{\prime}(t)-3 y(t)=t^{2}\);
\(y(0) 3, y^{\prime}(0)=6\)
Equation transcription:
Text transcription:
y^{prime prime}(t)+t y^{prime}(t)-3 y(t)=t^{2}
y(0) 3, y^{prime}(0)=6
Questions & Answers
QUESTION:
In Problems 1-7, convert the given initial value problem into an initial value problem for a system in normal form.
\(y^{\prime \prime}(t)+t y^{\prime}(t)-3 y(t)=t^{2}\);
\(y(0) 3, y^{\prime}(0)=6\)
Equation transcription:
Text transcription:
y^{prime prime}(t)+t y^{prime}(t)-3 y(t)=t^{2}
y(0) 3, y^{prime}(0)=6
ANSWER:Solution
Step 1:
We have to convert the given initial problem into an initial value problem for the system of normal form