Step by step for 2 please

The damped oscillation from the lecture is described by the following 2nd order linear differential equation mx+dx+kx=0,x(0)=1,x(0)=0. Use m=1kg for the mass and k=100kg/s2 for the spring constant. Consider the five cases from the lecture d=0,2,12,20 and 60 . 1. Get the analytical solution for each case using e.g. wolframalpha! 2. In the lecture we studied the location of the roots of the characteristic equation. Find out where the real and imaginary part reoccur in the analytical solutions! 3. Build up a simulink model simulating the differential equation (use real time pacing options) and reproduce the behaviour of all five cases! (Hint: Rewrite the equation that the second derivative is on the left hand side and everthing else is on the right hand side.)