Solution Found!
Solved: In 12 and 13, solve the phase plane equation for
Chapter 5, Problem 13RP(choose chapter or problem)
In Problems 12 and 13, solve the phase plane equation for the given system. Then sketch by hand several representative trajectories (with their flow arrows) and describe the stability of the critical points (i.e., compare with Figure 5.12, page 268).
\(x^{\prime}=4-4 y\),
\(y^{\prime}=-4 x\)
Equation transcription:
Text transcription:
x^{\prime}=4-4 y
y^{\prime}=-4 x
Questions & Answers
QUESTION:
In Problems 12 and 13, solve the phase plane equation for the given system. Then sketch by hand several representative trajectories (with their flow arrows) and describe the stability of the critical points (i.e., compare with Figure 5.12, page 268).
\(x^{\prime}=4-4 y\),
\(y^{\prime}=-4 x\)
Equation transcription:
Text transcription:
x^{\prime}=4-4 y
y^{\prime}=-4 x
ANSWER:Solution
Step 1:
We have to solve the phase plane equation for the given system and we have to describe the stability of the critical point