Consider the non homogeneous ODE with a nonlinear term called b: dy + 2Aw- dt2 dy + w?y (1+ by²) = fo sin wst dt where w = 3.0; \ = 1/36; fo = 3; %3D Wi, = 1 and w = 2.9 And the initial conditions are y(0) = y'(0) = 0 Plot amplitude-force frequency (ypeak vs wf) for these three different b in a same plot: b = 0.25 b = 0 b = -0.25

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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2
Forced damped motion
Consider the non homogeneous ODE with a nonlinear term called b:
dy
dt2
dy
+ 2Aw
+ w?y (1+ by²) = fo sin wft
dt
where
w = 3.0;
\ = 1/36;
fo = 3;
Wf, = 1 and WE, = 2.9
And the initial conditions are y(0) = y'(0) = 0
Plot amplitude-force frequency (ypeak vs wf) for these three different b in a
same plot:
b = 0.25
b = 0
b = -0.25
Transcribed Image Text:2 Forced damped motion Consider the non homogeneous ODE with a nonlinear term called b: dy dt2 dy + 2Aw + w?y (1+ by²) = fo sin wft dt where w = 3.0; \ = 1/36; fo = 3; Wf, = 1 and WE, = 2.9 And the initial conditions are y(0) = y'(0) = 0 Plot amplitude-force frequency (ypeak vs wf) for these three different b in a same plot: b = 0.25 b = 0 b = -0.25
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