Differential Equations, math homework help
Consider the initial value problem
modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force
, where the unit of force is the Newton (N). Assume that 
kilograms, 
kilograms per second, 
Newtons per meter, and the applied force in Newtons is
{20, 0<=t<=pi/2
{0, t>pi/2
For 
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