Given the mass, damping, and spring constants of an undriven spring-mass systemAlso given...

Given the mass, damping, and spring constants of an undriven spring-mass system

Also given initial conditions. Use a numerical solver to

(i) provide separate plots of the position versus time (y vs. t) and the velocity versus time (v vs. t),

(ii) provide a combined plot of both position and velocity versus time, and

(iii) provide a plot of the velocity versus position (υ vs. y) in the yυ phase plane.

In the exercise, choose a viewing window that highlights the important features of the solutions.

m = 4 kg, μ = 4 kg/s, k = 1 kg/s2, y(0) = 3m, y′(0) = 1 m/s