Consider the following nonlinear system:

Which of the following statements are true? Select all that apply.
A) $ \left(\frac{\pi}{6}, \frac{5 \pi}{18}\right) $ is an unstable saddle point.
B) $ \left(-\frac{\pi}{6}, \frac{\pi}{18}\right) $ is a stable center.
C) $ \left(-\frac{\pi}{6}, \frac{\pi}{36}\right) $ is a stable center.
D) $ \left(\frac{\pi}{3},-\frac{5 \pi}{18}\right) $ is an asymptotically stable spiral point.
E) $ \left(\frac{3 \pi}{6},-\frac{\pi}{18}\right) $ is an improper node.
F) $ \left(\frac{\pi}{3}, \frac{\pi}{36}\right) $ is a stable center.

Question

Consider the following nonlinear system:

Which of the following statements are true? Select all that apply.
A) $ \left(\frac{\pi}{6}, \frac{5 \pi}{18}\right) $ is an unstable saddle point. 
B) $ \left(-\frac{\pi}{6}, \frac{\pi}{18}\right) $ is a stable center. 
C) $ \left(-\frac{\pi}{6}, \frac{\pi}{36}\right) $ is a stable center. 
D) $ \left(\frac{\pi}{3},-\frac{5 \pi}{18}\right) $ is an asymptotically stable spiral point. 
E) $ \left(\frac{3 \pi}{6},-\frac{\pi}{18}\right) $ is an improper node. 
F) $ \left(\frac{\pi}{3}, \frac{\pi}{36}\right) $ is a stable center.

Quizplus · Accepted Answer

The Answer of Consider the following nonlinear system:

Which of the following statements are true? Select all that apply.
A) $ \left(\frac{\pi}{6}, \frac{5 \pi}{18}\right) $ is an unstable saddle point. 
B) $ \left(-\frac{\pi}{6}, \frac{\pi}{18}\right) $ is a stable center. 
C) $ \left(-\frac{\pi}{6}, \frac{\pi}{36}\right) $ is a stable center. 
D) $ \left(\frac{\pi}{3},-\frac{5 \pi}{18}\right) $ is an asymptotically stable spiral point. 
E) $ \left(\frac{3 \pi}{6},-\frac{\pi}{18}\right) $ is an improper node. 
F) $ \left(\frac{\pi}{3}, \frac{\pi}{36}\right) $ is a stable center.

Consider the Following Nonlinear System: Which of the Following (π6,5π18) \left(\frac{\pi}{6}, \frac{5 \pi}{18}\right) (6π​,185π​)

Consider the Following Nonlinear System:

Which of the Following $\left(\frac{\pi}{6}, \frac{5 \pi}{18}\right)$