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Consider the same nonlinear, forced ODE: x + dx + 3x + ax³ = cos(wt) Now, set d = 5, B = 6, a = 0. (a) Write down the solution to this ODE for y = 0. (b) Write down the solution for the periodically forced system with y = 1 and w = 1.

Consider the same nonlinear, forced ODE: x + dx + 3x + ax³ = cos(wt) Now, set d = 5, B = 6, a = 0. (a) Write down the solution to this ODE for y = 0. (b) Write down the solution for the periodically forced system with y = 1 and w = 1.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Consider the same nonlinear, forced ODE: x + dx + 3x + ax³ = cos(wt) Now, set d = 5, B = 6, a = 0. (a) Write down the solution to this ODE for y = 0. (b) Write down the solution for the periodically forced system with y = 1 and w = 1.
Transcribed Image Text:Consider the same nonlinear, forced ODE: x + dx + 3x + ax³ = cos(wt) Now, set d = 5, B = 6, a = 0. (a) Write down the solution to this ODE for y = 0. (b) Write down the solution for the periodically forced system with y = 1 and w = 1.
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