Well what did you get for your solution?
Can someone please help me with this one? I have found the equilibrium solutions,but I'm not sure what to do next.
Consider dx/dt = x^3 - 4x
Given a solution x(t) which satisfies the condition x(0) = 1, determine the limit(t -> infinity) of x(t).
Thank you HallsofIvy, I got the answer.
Actually the reason I asked this question was because in the worked solutions my professor had just written:
"If x(0) = 1 then the limit = 0"
So I assumed there had to be a simpler way than actually solving the ODE. I was thinking maybe...would looking at the direction field suffice in this case?