Obtains the transient response of a first-order
dynamic system to a unit-ramp input. Scipy's
fourth-order Runge-Kutta method is used to verify
the solution. The figure generated by the code
shows excellent agreement of the numeric with
the analytic solution.

It's important to indicate that the system is at
rest prior to the application of the forcing input u(t).

The analytic expression for the response of a first-order dynamic
system to a unit pulse is obtained by applying the principle of
superposition. Boolean algrebra is employed to model the input pulse
signal. The analytic solution agrees with the numeric one
(fourth-order Runge-Kutta method) as shown by the plot.