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

Question 88

Multiple Choice

Consider the differential equation dydt=g(y) \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.)  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)


A) y = 3 is a stable constant solution of dydt=g(y) \frac{d y}{d t}=g(y)
B) y = 3 is an unstable constant solution of dydt=g(y) \frac{d y}{d t}=g(y)
C) y = 18 is a stable constant solution of dydt=g(y) \frac{d y}{d t}=g(y)
D) y = 18 is an unstable constant solution of dydt=g(y) \frac{d y}{d t}=g(y)

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