A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the equilibrium position, and the resulting motion takes place in a 7 medium offering a damping force numerically equal to - times the instantaneous velocity. (Use g = 32 ft/s2 for the acceleration due to gravity.) Complete the Laplace transform of the differential equation. s² L{x} + +(C _ )sL{x} + { Use the Laplace transform to find the equation of motion x(t). x(t) = [ ) L{x} = c 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the equilibrium position, and the resulting motion takes place in a
7
times the instantaneous velocity. (Use g = 32 ft/s² for the acceleration due to gravity.)
8
medium offering a damping force numerically equal to
Complete the Laplace transform of the differential equation.
s² L{x} +
])s£{x} + [
Use the Laplace transform to find the equation of motion x(t).
x(t) =
S +
+
_ ) L{x} =
= 0
Transcribed Image Text:A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the equilibrium position, and the resulting motion takes place in a 7 times the instantaneous velocity. (Use g = 32 ft/s² for the acceleration due to gravity.) 8 medium offering a damping force numerically equal to Complete the Laplace transform of the differential equation. s² L{x} + ])s£{x} + [ Use the Laplace transform to find the equation of motion x(t). x(t) = S + + _ ) L{x} = = 0
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