Answer to Question #62065 in Differential Equations for DEVENDRA SINGH

Question

A mass of 2 kg is fixed to an end of a spring with spring constant k = 128 Nm−1
and the
system is placed inside a fluid. It is set into vibration from its equilibrium position with
an initial speed of 0.6 ms−1
. If the damping force due to the fluid is 40v(t) N where v is
the instantaneous speed of the mass, determine the position of the mass as a function of
time t.