Your job is to test several forms of dampening coefficients to determine the ``best'' to use for safety
and comfort. You are to consider a modification of the harmonic motion differential equation
my"+ b(v) y'+ ky = 0

where m is the mass of the driver, k is the spring constant, and b(v) is the variable dampening coefficient.
For the first part of the problem, assume that m = k = 1. We will also be letting v = y' .

b(v)= v^4

Solve the ODE: