Solution Found!
Continuing 17, show that the critical point (0, 0) is a. Asymptotically stable if q > 0
Chapter 9, Problem 18(choose chapter or problem)
QUESTION:
Continuing 17, show that the critical point (0, 0) is a. Asymptotically stable if q > 0 and p < 0; b. Stable if q > 0 and p = 0; c. Unstable if q < 0 or p > 0. The results of 17 and 18 are summarized visually in Figure 9.1.8. 1
Questions & Answers
QUESTION:
Continuing 17, show that the critical point (0, 0) is a. Asymptotically stable if q > 0 and p < 0; b. Stable if q > 0 and p = 0; c. Unstable if q < 0 or p > 0. The results of 17 and 18 are summarized visually in Figure 9.1.8. 1
ANSWER:Step 1 of 4
We have the characteristic equation as
And the Eigenvalues are given by
Where