Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 5.3, Problem 6E
Interpretation Introduction
Interpretation:
To analyze Romeo and Juliet system when Romeo doesn’t feel anything about his own feelings but Juliet gets excited when she feels love for Romeo and also gets excited when Romeo loves her.
Concept Introduction:
Romeo Juliet system is the system of coupled differential equations which can be used to study the behavior of Romeo and Juliet in love affair depending upon various parameters.
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Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 30% of its output to Fuels and 60% to Machinery and retains the rest. Fuels sells 70% of its output
to Chemicals and 20% to Machinery and retains the rest. Machinery sells 40% of its output to Chemicals and 30% to Fuels and retains the rest. Complete parts (a) through (c) below
a. Construct the exchange table for this economy.
Distribution of Output from:
Chemicals
Fuels
Machinery
(Type integers or decimals.)
Purchased by:
Chemicals
Fuels
Machinery
3) Find the general solution to the following differential equation.
d²x
=
+4x sin² (2t)
dt²
2) Find the general solution to the following differential equation.
d²x
dt²
-
dx
6 +25x = 64e¯*
dt
Chapter 5 Solutions
Nonlinear Dynamics and Chaos
Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
Ch. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.2 - Prob. 1ECh. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - Prob. 14ECh. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6E
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