4th Edition

ISBN: 9780495561989

Author: Paul Blanchard, Robert L. Devaney, Glen R. Hall

Publisher: Cengage Learning

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Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Textbook Question

Chapter 3.1, Problem 11E

For the linear systems given in Exercises 10 − 13 , use HPGSystemsolver to sketch the direction field, several solutions, and the x ( t ) - and y ( t ) -graphs for the solution with initial condition ( x , y ) = ( 1 , 1 )

11. d x d t = x + 2 y

d y d t = − x − y

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Chapter 3.1, Problem 10E

Chapter 3.1, Problem 12E

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Chapter 3 Solutions

Differential Equations

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For the linear systems given in Exercises 10 − 13 , use HPGSystemsolver to sketch the direction field, several solutions, and the x ( t ) - and y ( t ) -graphs for the solution with initial condition ( x , y ) = ( 1 , 1 ) 11. d x d t = x + 2 y d y d t = − x − y

Solution Summary: The author explains how the HPGSystemSolver graphs the directional field, several solutions, and the linear system.

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Chapter 3 Solutions