The motion of a mass-spring system with damping is governed by y''(t) + by' (t) +9y(t) = 0; y(0) = 3, and y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 2, 6, and 10. What is the equation of motion for b=0? y(t) = 3 cos 3t (Type an exact answer, using radicals as needed.) What is the equation of motion for b=2? y(t) = (Type an exact answer, using radicals as needed.) ...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The motion of a mass-spring system with damping is governed by y''(t) + by' (t) +9y(t) = 0; y(0) = 3, and y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 2, 6, and 10.
What is the equation of motion for b = 0?
y(t) = 3 cos 3t
(Type an exact answer, using radicals as needed.)
What is the equation of motion for b = 2?
y(t) =
(Type an exact answer, using radicals as needed.)
( ・・・ )
Transcribed Image Text:The motion of a mass-spring system with damping is governed by y''(t) + by' (t) +9y(t) = 0; y(0) = 3, and y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 2, 6, and 10. What is the equation of motion for b = 0? y(t) = 3 cos 3t (Type an exact answer, using radicals as needed.) What is the equation of motion for b = 2? y(t) = (Type an exact answer, using radicals as needed.) ( ・・・ )
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