Critically Damped Solution x ( t ) Plotted Using Maple

First define the solution x ( t ) as a function of t :

> x := t-> exp(–5*t) * ( 1 + 15*t ) ;

Now plot the solution as t varies from 0 to 2. Here the motion dampens quickly.

> plot( x(t), t = 0.0 .. 2.0, x = 0.0 .. 2.0, color = blue, thickness = 5, size = [560,400] ) ;