Solution Found!
In 1–7, convert the given initial value problem
Chapter 5, Problem 6E(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.
\(3 x^{\prime}+5 x-2 y=0, x(0)=-1, x^{\prime}(0)=0\),
\(4 y^{\prime \prime}+2 y-6 x=0, y(0)=1, y^{\prime}(0)=2\)
Equation transcription:
Text transcription:
3 x^{prime}+5 x-2 y=0, x(0)=-1, x^{prime}(0)=0
4 y^{prime prime}+2 y-6 x=0, y(0)=1, y^{prime}(0)=2
Questions & Answers
QUESTION:
In Problems 1-7, convert the given initial value problem into an initial value problem for a system in normal form.
\(3 x^{\prime}+5 x-2 y=0, x(0)=-1, x^{\prime}(0)=0\),
\(4 y^{\prime \prime}+2 y-6 x=0, y(0)=1, y^{\prime}(0)=2\)
Equation transcription:
Text transcription:
3 x^{prime}+5 x-2 y=0, x(0)=-1, x^{prime}(0)=0
4 y^{prime prime}+2 y-6 x=0, y(0)=1, y^{prime}(0)=2
ANSWER:Solution:
Step 1:
We have to convert the given initial problem into an initial value problem for the system of normal form.
The given initial problem are