(Solved): A mass of 1 kg is attached to a linear spring whose constant is 5 N/m. The damping force applied t ...

A mass of 1 kg is attached to a linear spring whose constant is 5 N/m. The damping force applied to the mass is equal to 2 times its velocity, and a force equal to f(t)=5cost is applied to the mass. Find the equation for the displacement of the mass if its initial position and velocity are x(0)=0 and x'(0)=0 respectively