Name:

MATH 285 Section N1
Fall 2001
Quiz 4

Please answer all questions on this sheet. You must show your work to obtain full credit. 10 points are possible. Good luck!

1.

(5 points) A mass m=1 is attached to both a spring with spring constant k=8 and a dashpot with damping constant c=6. It is set in motion from the equilibrium position x₀=0 with initial velocity v₀=2. Find the position function x(t) and determine whether the motion is underdamped, critically damped, or overdamped.

2.

(5 points) Find the general solution of the differential equation

y''+y'=2x

.