determine themotion of the spring-masssystem governed by the given initial-value problem. In eachcase, state whether the motion is underdamped, criticallydamped, or overdamped, and make a sketch depicting themotion. 4d2 y/dt2 + 4dy/dt + y = 0, y(0) = 4,dy/dt(0) = −1.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.14P
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determine themotion of the spring-mass
system governed by the given initial-value problem. In each
case, state whether the motion is underdamped, critically
damped, or overdamped, and make a sketch depicting the
motion.

4d2 y/dt2 + 4dy/dt + y = 0, y(0) = 4,
dy/dt(0) = −1.

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