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egiven differential equation is a model of an undamped spring/mass sy

egiven differential equation is a model of an undamped spring/mass sy

Calculus For The Life Sciences
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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d²x The given differential equation is a model of an undamped spring/mass system in which the restoring force F(x) in m + F(x) = 0 is nonlinear. dt² For the equation, use a numerical solver to plot the solution curves that satisfy the given initial conditions. X(t) x(t) 1.5 1.0 0.5 -0.5 -1.0 O-1.5 d²x dt² x(0) = 1, x'(0) = 1; x(0) = 2, x'(0) = -1 0.01x + xe 2 2 = 0, 6 period for x(0) = 2, x'(0) = -1 0.5 ANN 2 -0.5- t X(t) t 1.0 O-1.0 x(t) 1.5 1.0 0.5 -0.5 -1.0 O-1.5 If the solutions appear to be periodic, use the solution curve to estimate the period T of oscillations. (If the solution curve is not periodic, enter NOT.) period for x(0) = 1, x'(0) = 1
Transcribed Image Text:d²x The given differential equation is a model of an undamped spring/mass system in which the restoring force F(x) in m + F(x) = 0 is nonlinear. dt² For the equation, use a numerical solver to plot the solution curves that satisfy the given initial conditions. X(t) x(t) 1.5 1.0 0.5 -0.5 -1.0 O-1.5 d²x dt² x(0) = 1, x'(0) = 1; x(0) = 2, x'(0) = -1 0.01x + xe 2 2 = 0, 6 period for x(0) = 2, x'(0) = -1 0.5 ANN 2 -0.5- t X(t) t 1.0 O-1.0 x(t) 1.5 1.0 0.5 -0.5 -1.0 O-1.5 If the solutions appear to be periodic, use the solution curve to estimate the period T of oscillations. (If the solution curve is not periodic, enter NOT.) period for x(0) = 1, x'(0) = 1
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Calculus For The Life Sciences
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
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