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In the study of a nonlinear spring with periodic forcing, the equation y" + ky + ry³ = A cos at arises. Let k = 6, r=5, A=2, and @ = 9. Find the first three nonzero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0, y'(0) = 1. The Taylor approximation to three nonzero terms is y(t) = ☐ +

In the study of a nonlinear spring with periodic forcing, the equation y" + ky + ry³ = A cos at arises. Let k = 6, r=5, A=2, and @ = 9. Find the first three nonzero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0, y'(0) = 1. The Taylor approximation to three nonzero terms is y(t) = ☐ +

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.CR: Chapter 11 Review
Problem 12CR
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3 In the study of a nonlinear spring with periodic forcing, the equation y" + ky + ry³ = A cos cot arises. Let k = 6, r = 5, A = 2, and w = 9. Find the first three nonzero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0, y'(0) = 1. The Taylor approximation to three nonzero terms is y(t) = ☐ +……..
Transcribed Image Text:3 In the study of a nonlinear spring with periodic forcing, the equation y" + ky + ry³ = A cos cot arises. Let k = 6, r = 5, A = 2, and w = 9. Find the first three nonzero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0, y'(0) = 1. The Taylor approximation to three nonzero terms is y(t) = ☐ +……..
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