d²y w (1 - y²) dy dt² dt - y (0) = 2 + cy=0 dy (0) (0) = 0 dt Solve the equation form time - 0 to 10 Gincrements of 001) for values of c and w ranging

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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VanderPol's equation is given by the following equation where w and c are constants.
dy
dt
d²y
dt²
w (1- y²).
dy
dt
+ cy=0
-(0) = 0
y (0) = 2
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:VanderPol's equation is given by the following equation where w and c are constants. dy dt d²y dt² w (1- y²). dy dt + cy=0 -(0) = 0 y (0) = 2 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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