3rd Edition

ISBN: 9780135182543

Author: Briggs

Publisher: PEARSON

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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 9.2, Problem 13E

Sketching direction fields Use the window [–2, 2] × [–2, 2] to sketch a direction field for the following equations. Then sketch the solution curve that corresponds to the given initial condition. A detailed direction field is not needed.

13. y′(t) = 4 – y, y(0) = –1

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Chapter 9.2, Problem 12E

Chapter 9.2, Problem 14E

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Chapter 9 Solutions

CALCULUS:EARLY TRANSCENDENTALS-PACKAGE

Ch. 9.1 - What are the orders of the equations in Example 2?...Ch. 9.1 - What is the solution of the initial value problem...Ch. 9.1 - Solve the initial value problem in Example 4a with...Ch. 9.1 - Suppose the initial conditions in Example 5a are...Ch. 9.1 - In Example 7, if the height function were given by...Ch. 9.1 - Consider the differential equation y(t) + 9y(t) =...Ch. 9.1 - If the general solution of a differential equation...Ch. 9.1 - Does the function y(t) = 2t satisfy the...Ch. 9.1 - Does the function y(t) = 6e3t satisfy the initial...Ch. 9.1 - The solution to the initial value problem y(t) = 2...

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Sketching direction fields Use the window [–2, 2] × [–2, 2] to sketch a direction field for the following equations. Then sketch the solution curve that corresponds to the given initial condition. A detailed direction field is not needed. 13. y ′( t ) = 4 – y , y (0) = –1

Solution Summary: The author illustrates the graph of the direction field of differential equation and its solution curve using an online graphing calculator.

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