VanderPol's equation is given by the following equation where w and c are constants. d?y w (1 – y?). dy + су%3D0 dt2 dt У (0) %3D 2 dy (0) = 0

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2. (25 %)
VanderPol's equation is given by the following equation where w and c are constants.
d?y
dy
dt2
w (1 — у?)
+ су%3D0
dt
dy
(0)
dt
y(0) = 2
= 0
%3D
Solve the equation form time 0 to 10 (increments of 0.01) for values of c and w ranging
from 1 to 3 in increments of 0.5 (25 cases total) and plot and label the phase plane (i.e.
y(t) on x axis vs. dy(t)/dt on yaxis) for each case on the same plot.
Transcribed Image Text:2. (25 %) VanderPol's equation is given by the following equation where w and c are constants. d?y dy dt2 w (1 — у?) + су%3D0 dt dy (0) dt y(0) = 2 = 0 %3D Solve the equation form time 0 to 10 (increments of 0.01) for values of c and w ranging from 1 to 3 in increments of 0.5 (25 cases total) and plot and label the phase plane (i.e. y(t) on x axis vs. dy(t)/dt on yaxis) for each case on the same plot.
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