Suppose the differential equation $y^{\prime \prime}+16 y^{\prime}+$$64 y=0$ describes the motion of a spring.Which of the following terms describes the motion of the spring?
A)underdamped
B)critically damped
C)overdamped

Question

Quizplus · Accepted Answer

The given differential equation is characteristic of critically damped motion, as the discriminant of the characteristic equation (derived from the differential equation) is zero, indicating a critically damped system.

Suppose the Differential Equation y′′+16y′+y^{\prime \prime}+16 y^{\prime}+y′′+16y′+ 64y=064 y=064y=0 Describes the Motion of a Spring

Suppose the Differential Equation $y^{\prime \prime}+16 y^{\prime}+$ $64 y=0$ Describes the Motion of a Spring