ODE for mass spring damper system with two external forces

Hello all,

I'm struggling with above ODE to model a mass spring damper system with two external forces.

f_e is external vibration with relatively low frequency, and f_0 would be the driving force with variable w as frequency.

So, my Inputs are:

zeta=0.2;

w_R=100;

w_e=1;

f_e=1;

f_0=1;

Could anyone please help me model this system?

I would like to get x displacement with respect to time for a given w(e.x. w=w_R=100).

and if possible, i'd like to see the max displacement of x for w from 0 to 200.

Thank you..