(Mass-spring system of Examples 3 and 8)
Evaluate G, H, Ø, ψ for the initial conditions x1(0) = 1,x2(0) = x1 ′ (0) = x2 ′ = 0, and show that both modes are present in the solution. Obtain a computer plot of x1(t) and x2(t), over 0 ≤ t ≤ 20 (so as to show several cycles), for x1 (0) = x2(0) = 0, x1′(0) = 2, x2′ (0) = 3.
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