or the differential equations″+bs′+5s=0,find the values of b that make the general solution overdamped, underdamped, or critically damped.
or the differential equations″+bs′+5s=0,find the values of b that make the general solution overdamped, underdamped, or critically damped.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the differential equations″+bs′+5s=0,find the values of b that make the general solution overdamped, underdamped, or critically damped.
(For each, give an interval or intervals for b for which the equation is as indicated. Thus if the the equation is overdamped for all b in the range −1<b≤1 and 3≤b<∞, enter (-1,1], [3,infinity); if it is overdamped only for b=3, enter [3,3].)
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