Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Differential Equationshard
0:00.0

An autonomous differential equation is given by dydt=g(y)\frac{dy}{dt} = g(y)dtdy​=g(y). If the function g(y)g(y)g(y) has roots at y1=−2,y2=0,y3=5y_1 = -2, y_2 = 0, y_3 = 5y1​=−2,y2​=0,y3​=5, and g′(y)g'(y)g′(y) is positive at y=−2y = -2y=−2, negative at y=0y = 0y=0, and positive at y=5y = 5y=5, which of the following is true regarding the stability of the equilibrium solutions?