Applications of Differential Equations : Mass-spring system
The motion of a certain mass in a spring is described by:
[tex]\sf x''+2x'+2x=5sin(t)[/tex]
a) What is the amplitude of the resulting constant periodic oscillations?
b) Suppose the mass is initially at rest, that is, x(0)=0 and x′(0)=0, find the position function x(t).
