Correction:
"We want to prove that there is a time T where Limit(x(t)) = 0 and Limit(x'(t)) = 0 when t converges to T(not to zero as it was written before)."
T is the time where the solution x(T) = 0 and x'(T) = 0; We want to prove that such time T exists and this can be done by using...
Sorry for that JJacquelin. Here is a brief description of my problem. In fact,it is a control problem, we want to control the braking (x, x') of an unmanned small helicopter using the Time-To-Contact information "tau = x/x' " So we have:
tau = x/x', with x(0) = x0 < 0 and x'(0) = x0 > 0
x" =...
Thank you guys and many thanks for you JJacquelin.
The solution you propose (x(t) = (1/18)(k+3a)(t+(b/a))^3) satisfies the DE but does not satisfy the boundary conditions or initial conditions for x and x'. I don't know if there is a way to find a similar or another solution that satisfies...
Hi,
I need some help to find the analytical solution of the following DE:
x" - k x/x' = at + b, with x' = dx/dt and x" = d(dx/dt)/dt
Any kind oh help or advices on where I can find some useful resources are really appreciated.
Thank you