Consider the autonomous differential equation

Which of the following statements is true?
A) All nonequilibrium solutions tend toward -$\infty$ as t $\rightarrow$$\infty$.
B) y = 2k $\pi$ is stable and y = (2k + 1) $\pi$ is unstable, for any integer k.
C) y = 2k $\pi$is unstable and y = (2k + 1) $\pi$ is stable, for any integer k.
D) All equilibrium solutions are semi-stable.

Question

Consider the autonomous differential equation

Which of the following statements is true?
A) All nonequilibrium solutions tend toward -$\infty$ as t $\rightarrow$$\infty$. 
B) y = 2k $\pi$ is stable and y = (2k + 1) $\pi$ is unstable, for any integer k. 
C) y = 2k $\pi$is unstable and y = (2k + 1) $\pi$ is stable, for any integer k. 
D) All equilibrium solutions are semi-stable.

Quizplus · Accepted Answer

The Answer of Consider the autonomous differential equation

Which of the following statements is true?
A) All nonequilibrium solutions tend toward -$\infty$ as t $\rightarrow$$\infty$. 
B) y = 2k $\pi$ is stable and y = (2k + 1) $\pi$ is unstable, for any integer k. 
C) y = 2k $\pi$is unstable and y = (2k + 1) $\pi$ is stable, for any integer k. 
D) All equilibrium solutions are semi-stable.

Consider the Autonomous Differential Equation Which of the Following ∞\infty∞

Consider the Autonomous Differential Equation

Which of the Following $\infty$