The forced mass-spring system is described by the differential equation md2xdt2+dxdt+kx=F(t)wherex=x(t) is the displacement from equilibrium at
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The forced mass-spring system is described by the differential equation md2xdt2+dxdt+kx=F(t)wherex=x(t) is the displacement from equilibrium at time t,m is the mass,k is the constant in Hooke's Law,>0 is the coefficient of friction, and F(t) is the forcing term. Find the solution if m=2,=5,k=3and F(t)=t and x(0)=x(0)=0
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