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(1) A mass weighing 4 lb stretches a spring 2 in. Suppose that the mass us displaced an additional 6 in. and then released. The mass is in a medium that exerts a viscous resistance of 6 lb when the mass has a velocity of 3 ft/sec. Set up the initial value problem that describes the motion of the mass.

(1) A mass weighing 4 lb stretches a spring 2 in. Suppose that the mass us displaced an additional 6 in. and then released. The mass is in a medium that exerts a viscous resistance of 6 lb when the mass has a velocity of 3 ft/sec. Set up the initial value problem that describes the motion of the mass.

Advanced Engineering Mathematics
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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(1) A mass weighing 4 lb stretches a spring 2 in. Suppose that the mass us displaced an additional 6 in. and then released. The mass is in a medium that exerts a viscous resistance of 6 lb when the mass has a velocity of 3 ft/sec. Set up the initial value problem that describes the motion of the mass.
Transcribed Image Text:(1) A mass weighing 4 lb stretches a spring 2 in. Suppose that the mass us displaced an additional 6 in. and then released. The mass is in a medium that exerts a viscous resistance of 6 lb when the mass has a velocity of 3 ft/sec. Set up the initial value problem that describes the motion of the mass.
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