Consider a weakly-damped, but undriven oscillator. the general equation of motion is where the damping force fdamp = -bv so β = -b/2m and ω0 is the natural frequency. (a) use this to sketch the state-space orbit, showing the movement of (x, x’) for 0< t< 10 with the parameters x(0) = π/4, x’(0) = 0, ω0 =2π, and β=0.5. (b) what type of attractor does this system have? what is it? explain it, both with reference to your sketch and in terms of energy conservation.