Write a program that computes two trajectories

A key feature of chaotic system is “sensitive dependence on initial conditions”, meaning
infinitessimal differences in the initial conditions will lead to wildly different trajectories.
Here you will demonstrate this numerically. Write a program that computes two trajectories
(solutions to the Lorenz system) from two nearby initial conditions, i.e. choose x(0) = x0,
and x˜(0) = x0+ (e.g. just add an arbitrarily small number to any or all of the components
of x(0)0). Step the trajectories forward, and at each time, compute the “distance” between
them, d(t) = |x(t) – x˜(t)|. Chaotic systems have exponential separation of paths

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