ODE:

x' = -3x^2 - x + 2

X[0] is given.

What values will yield equilibrium. I got those values 2/3 and -1.

Q: Equilibria can either be characterized by stable, indifferent or unstable. What is applicable for the above found values as : 2/3 and -1?

Another Q : Let x[0] > 0 and if we solve it by Forward Euler, what should be the max stepsize?

Any help is appreciated!

Thanks

Robert