The displacement y(t) of a driven mass-spring system is described by the differential
equation
2y'' + 14y = 8 cos(2t)
with initial value conditions y(0) = 0; y'(0) = 0.
(a) Is this system damped or undamped?
(b) Is this system resonant?
(c) Write the solution to the IVP in terms of a product...