Consider the Autonomous Differential Equation

Which of the Following $\infty$

Multiple Choice

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.