EBK NONLINEAR DYNAMICS AND CHAOS WITH S
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
Author: STROGATZ
Publisher: VST
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Chapter 7.2, Problem 2E
Interpretation Introduction

Interpretation:

To plot the phase portraits of the given gradient systems.

Concept Introduction:

When it is possible to write the system as x˙ = -V then the function V is called a potential function for x˙  while x˙  is a negative gradient of V.

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4. Let A {w, e, s, t, f, i, e, l, d, s, t, a, t, e}. (a) How many different words (they do not have to make sense) can you spell with the letters in A? (b) Is your answer from above the same as the cardinality of the powerset of A, i.e. of P(A)? (c) What is |A|?
5. How many numbers can you make out of the digits 1, 2, 3, 4, 6 if the rule is that every digit has to be larger than the digit preceding it? For example 124 is ok, 122 is not ok. Every digit can be used only once, but you do not have to use every digit. A tree might help.
Can you help me with f and g?What they are asking is, what do you shade in? Not the power set. At least for F
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