(a) Convert the second-order equation of Exercise 13 into a first-order system.
(b) Find the equilibrium point of this system.
(c) Using your result from part (b), pick a new coordinate system and rewrite the system in terms of this new coordinate system.
(d) How does this new system compare to the system for a damped harmonic oscillator?
Reference: problem 13
Write a second-order differential equation for the position of the mass at time t. [Hint: The first step is to pick an origin, that is, a point where the position is 0. The left-hand wall is a natural choice.]
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