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

question 88

Multiple Choice

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 \(\frac{d y}{d t}=g(y)\)

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