Which of the following is an accurate description of the long-term behavior of the solution of the initial value problem For any choice of$\alpha$and $\beta$ satisfying A) y is periodic with period $\pi$. B) y is periodic with period 2 $\pi$. C) y becomes unbounded in both the positive and negative y-directions as t $\rightarrow$ $\infty$. D) y oscillates toward 0 as t $\rightarrow$ $\infty$. E) y increases toward +$\infty$ if $\beta$ 0, and decreases toward -$\infty$ if$\beta$

Question

Which of the following is an accurate description of the long-term behavior of the solution of the initial value problem

For any choice of$\alpha$and $\beta$ satisfying 
A) y is periodic with period $\pi$. 
B) y is periodic with period 2 $\pi$. 
C) y becomes unbounded in both the positive and negative y-directions as t $\rightarrow$ $\infty$. 
D) y oscillates toward 0 as t $\rightarrow$ $\infty$. 
E) y increases toward +$\infty$ if $\beta$ > 0, and decreases toward -$\infty$ if$\beta$ < 0.

Quizplus · Accepted Answer

The Answer of Which of the following is an accurate description of the long-term behavior of the solution of the initial value problem

For any choice of$\alpha$and $\beta$ satisfying 
A) y is periodic with period $\pi$. 
B) y is periodic with period 2 $\pi$. 
C) y becomes unbounded in both the positive and negative y-directions as t $\rightarrow$ $\infty$. 
D) y oscillates toward 0 as t $\rightarrow$ $\infty$. 
E) y increases toward +$\infty$ if $\beta$ > 0, and decreases toward -$\infty$ if$\beta$ < 0.

Which of the Following Is an Accurate Description of the Long-Term