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
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
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b37739b-fa7b-4e91-927e-429311b7bb90%2F8eeb1e40-421a-4a2d-9afa-94ccf7033c13%2F4sc088d_processed.jpeg&w=3840&q=75)
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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