Guidance needed for ODE problem

to find min time to steer x0=0 to xf=100 for the dynamics x’=y, y’=u-a y-by^2, u= 1, 0, -1, a=b=0.4

(I’ve edited your title to be more descriptive; I hope that’s ok)

what have you tried? which packages are you trying to use if any?

Hi @BALWWE, welcome to the forum.

See, for example:

Or some related packages: