OVERDAMPED MOTION The initial- value problem

x" + 3x + 2x = 0 x(0) Xo, x'(0) = x₁

is a model for an overdamped spring/mass system.

=

(a) Let xo 3. Use maple solver to determine experimentally a range of values for the initial

velocity x₁ such that the mass passes through the equilibrium position.

(b) Repeat part (a) for xo=2, Xo = 1 Xo = -2 Xo = -0.5

(c) For any xo> 0, use part (a) and (b) to conjecture a range of values for x₁ such that the

X1

mass passes through the equilibrium position. Then prove your assertion analytically