Question: Solving differential equatins with piecewise and sign functions

Hi,

Is there anyway to solve this equation for x(t) analytically in Maple?

m * diff(diff(x(t),t), t) = - m * A * sin(2*pi*f*t) - piecewise( abs(x) < x__max, 0, abs(x) >= x__max, -k*(abs(x)-x__max)*Sgn(x)) - diff(x(t), t);

m, x_max, f, A, and k are constant parameters.

Thanks,

Baharm31

 

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