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Consider a one-dimensional particle of mass m feeling the inverse harmonic oscillator potential V=-1/2kx^2 (k>0)

a) solve the equation of motion( F=ma, where a = d^2x/dt^2)for the initial conditions x(t)=x0 and x'(t)=x'0 at t-0.
b) using your solution from part a), show that the totalenergy E of the system is conserved.

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