Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = -2x + 6xy y'(t) = y - 9xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0, (c) find the equilibrium points for the system.
A. (a) x' = 0 along the lines x = 0 and y =
(b) y' = 0 along the lines y = 0 and x =
(c) (0, 0) and
B. (a) x' = 0 along the lines x = 0 and y = 3
(b) y' = 0 along the lines y = 0 and x = 9
(c) (0, 0) and
C. (a) x' = 0 along the lines x = and y = 0
(b) y' = 0 along the lines y = and x = 0
(c) (0, 0) and
D. (a) x' = 0 along the lines x = 0 and y = 3
(b) y' = 0 along the lines y = 0 and x = 9
(c) and
Answer: A
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