A portion of the direction field for the differential equation = f(y) is shown below:
The dotted horizontal line has equation y = -7. Which of the following statements are true? Select all that apply.
A) y(t) = 0 is the solution to the initial-value problem = f(y) , y(0) = 0.
B) y(t) = -7 is the only equilibrium solution.
C) There is no solution of the initial-value problem = f(y) , y(0) =
when
= -7.
D) Every solution curve y(t) is increasing toward a negative limit as t .
E) Every solution curve y(t) tends towards -7 as t .
F) F(y) cannot be a linear function of y.
Correct Answer:
Verified
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