DIFFERENTIAL EQUATIONS-NEXTGEN WILEYPLUS

3rd Edition

ISBN: 9781119764564

Author: BRANNAN

Publisher: WILEY

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Textbook Question

Chapter 1.2, Problem 9P

Problems 8 through 13 involve equations of the form d y / d t = f ( y ) . In each problem, sketch the graph of f ( y ) versus y , determine the critical (equilibrium) points, and classify each one as asymptotically stable, unstable, or semistable. Draw the phase line, and sketch several graphs of solutions in the t y − plane.

d y / d t = − k ( y − 1 ) 2 , k > 0 , − ∞ < y 0 < ∞ .

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Chapter 1.2, Problem 8P

Chapter 1.2, Problem 10P

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Chapter 1 Solutions

DIFFERENTIAL EQUATIONS-NEXTGEN WILEYPLUS

Ch. 1.1 - Newton’s Law of Cooling. A cup of hot coffee has...Ch. 1.1 - Blood plasma is stored at . Before it can be...Ch. 1.1 - At 11:09p.m. a forensics expert arrives at a crime...Ch. 1.1 - The rate constant if the population doubles in ...Ch. 1.1 - The field mouse population in Example 3 satisfies...Ch. 1.1 - Radioactive Decay. Experiments show that a...Ch. 1.1 - A radioactive material, such as the isotope...Ch. 1.1 - Classical Mechanics. The differential equation for...Ch. 1.1 - For small, slowly falling objects, the assumption...Ch. 1.1 - Mixing Problems. Many physical systems can be cast...

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