Write the differential equation that governs the motion of the damped mass-spring system, and find the solution that satisfies the initial conditions specified. Units are mks; γ is the damping coefficient, with units of kg/sec.

a. m = 0.2 , γ = 1.6, and k = 4
Initial displacement is 1 and initial velocity is -2

x'' + ___ x' + ___x = 0

x(t) =

b. m = 0.1 , γ = 0.6, and k = 3.4
Initial displacement is -1 and initial velocity is 18

x'' + ___ x' + ___x = 0

x(t) =

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