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The direction field for dy/dx = 2x + y is shown in Figure

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 1E Chapter 1.3

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

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Problem 1E

Problem 1E

Problem

The direction field for dy/dx = 2x + y is shown in Figure 1.12.

(a) Sketch the solution curve that passes through (0,-2). From this sketch, write the equation for the solution.

(b) Sketch the solution curve that passes through (-1/3).

(c) What can you say about the solution in part (b) as How about

Step-by-Step Solution:
Step 2 of 4

Step1 :

Direction for the field is

Step 2 :

(a)

Equation of the solution is

Step 3 of 4

Chapter 1.3, Problem 1E is Solved
Step 4 of 4

Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

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The direction field for dy/dx = 2x + y is shown in Figure

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