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The Green's function for the differential equation d^2x/dt^2+x=f(t), satisfying the initial conditions x(0)=dx/dt(0)=0 is The solution of the differential equation when the source f(t)=0(t)

The Green's function for the differential equation d^2x/dt^2+x=f(t), satisfying the initial conditions x(0)=dx/dt(0)=0 is The solution of the differential equation when the source f(t)=0(t) (the Heaviside step function) is

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