Consider the differential equation $\frac{d y}{d t}=g(y)$ .The graph of g(y)is drawn below.Which of the following are true? (Select all that apply.)
A)y = 3 is a stable constant solution of $\frac{d y}{d t}=g(y)$
B)y = 3 is an unstable constant solution of $\frac{d y}{d t}=g(y)$
C)y = 18 is a stable constant solution of $\frac{d y}{d t}=g(y)$
D)y = 18 is an unstable constant solution of $\frac{d y}{d t}=g(y)$

Question

Consider the differential equation $\frac{d y}{d t}=g(y)$ .The graph of g(y)is drawn below.Which of the following are true? (Select all that apply.) 
A)y = 3 is a stable constant solution of $\frac{d y}{d t}=g(y)$ 
B)y = 3 is an unstable constant solution of $\frac{d y}{d t}=g(y)$ 
C)y = 18 is a stable constant solution of $\frac{d y}{d t}=g(y)$ 
D)y = 18 is an unstable constant solution of $\frac{d y}{d t}=g(y)$

Quizplus · Accepted Answer

The Answer of Consider the differential equation $\frac{d y}{d t}=g(y)$ .The graph of g(y)is drawn below.Which of the following are true? (Select all that apply.) 
A)y = 3 is a stable constant solution of $\frac{d y}{d t}=g(y)$ 
B)y = 3 is an unstable constant solution of $\frac{d y}{d t}=g(y)$ 
C)y = 18 is a stable constant solution of $\frac{d y}{d t}=g(y)$ 
D)y = 18 is an unstable constant solution of $\frac{d y}{d t}=g(y)$

Consider the Differential Equation dydt=g(y)\frac{d y}{d t}=g(y)dtdy​=g(y) The Graph of G(y)is Drawn Below

Consider the Differential Equation $\frac{d y}{d t}=g(y)$ The Graph of G(y)is Drawn Below