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Problem #8: (a) A spring-mass system moves in free damped motion. The displacement $x(t)$ of the mass is modelled by the initial value problem $x'' + 20x' + 64x = 0$, $x(0) = 7$, $x'(0) = 3$. Find the displacement $x(t)$ of the mass. (b) What is the name of the zero equilibrium point? Problem #8(a): Enter your answer as a symbolic function of t, as in these examples Do not include '$x(t)$' in your answer. (A) nodal sink (B) center (C) spiral source (D) saddle (E) nodal source (F) spiral sink

          Problem #8: (a) A spring-mass system moves in free damped motion. The displacement $x(t)$ of the mass is modelled by the initial value problem
$x'' + 20x' + 64x = 0$, $x(0) = 7$, $x'(0) = 3$.
Find the displacement $x(t)$ of the mass.
(b) What is the name of the zero equilibrium point?
Problem #8(a):
Enter your answer as a symbolic function of t, as in these examples
Do not include '$x(t)$' in your answer.
(A) nodal sink (B) center (C) spiral source (D) saddle (E) nodal source (F) spiral sink

Problem #8: (a) A spring-mass system moves in free damped motion. The displacement x(t) of the mass is modelled by the initial value problem
x” + 20x' + 64x = 0, x(0) = 7, x'(0) = 3.
Find the displacement x(t) of the mass.
(b) What is the name of the zero equilibrium point?
Problem #8(a):
Enter your answer as a symbolic function of t, as in these examples
Do not include 'x(t)' in your answer.
(A) nodal sink (B) center (C) spiral source (D) saddle (E) nodal source (F) spiral sink

Added by Clara B.

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