The free fall of a light particle of mass m released from rest and moving with a velocity v is…

The free fall of a light particle of mass m released from rest and moving with a velocity v is governed by

where g = 9.81 m/s2 is the gravitational acceleration and b = 0.2m is the coefficient of viscous damping. Write a MATLAB script that solves the IVP using Euler ODE with h = 0.05 and returns a table of the estimated solutions at 0, 0.2, 0.4, 0.6, 0.8, 1, as well as the exact values at these points. The exact solution is

 

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