ELEMENTARY DIFF.EQU.BOUND VALUE
11th Edition
ISBN: 9781119447542
Author: Boyce
Publisher: JOHN WILEY+SONS INC.
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Chapter 1.3, Problem 6P
To determine
To verify: The given function is a solution of the differential equation.
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4. Direction Fields/Phase Portraits. Use the given direction fields to plot solution curves
to each of the given initial value problems.
(a)
x = x+2y
1111
y = -3x+y
with x(0) = 1, y(0) = -1
(b) Consider the initial value problem corresponding to the given phase portrait.
x = y
y' = 3x + 2y
Draw two "straight line solutions"
passing through (0,0)
(c) Make guesses for the equations of the straight line solutions: y = ax.
It was homework
Chapter 1 Solutions
ELEMENTARY DIFF.EQU.BOUND VALUE
Ch. 1.1 - Prob. 1PCh. 1.1 - Prob. 2PCh. 1.1 - Prob. 3PCh. 1.1 - Prob. 4PCh. 1.1 - Prob. 5PCh. 1.1 - Prob. 6PCh. 1.1 - Prob. 7PCh. 1.1 - Prob. 8PCh. 1.1 - Prob. 9PCh. 1.1 - Prob. 10P
Ch. 1.1 - Prob. 11PCh. 1.1 - Prob. 12PCh. 1.1 - Prob. 13PCh. 1.1 - Prob. 14PCh. 1.1 - Prob. 15PCh. 1.1 - Prob. 16PCh. 1.1 - A pond initially contains 1,000,000 gal of water...Ch. 1.1 - Prob. 18PCh. 1.1 - Newtons law of cooling states that the temperature...Ch. 1.1 - Prob. 20PCh. 1.1 - Prob. 21PCh. 1.1 - Prob. 22PCh. 1.1 - Prob. 23PCh. 1.1 - Prob. 24PCh. 1.1 - In each of Problems 22 through 25, draw a...Ch. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - Undetermined Coefficients. Here is an alternative...Ch. 1.2 - Use the method of Problem 5 to solve the...Ch. 1.2 - Prob. 7PCh. 1.2 - Prob. 8PCh. 1.2 - Consider the falling object of mass 10 kg in...Ch. 1.2 - Prob. 10PCh. 1.2 - Prob. 11PCh. 1.2 - According to Newton’s law of cooling (see Problem...Ch. 1.2 - Prob. 13PCh. 1.2 - Prob. 14PCh. 1.3 - Prob. 1PCh. 1.3 - Prob. 2PCh. 1.3 - Prob. 3PCh. 1.3 - Prob. 4PCh. 1.3 - Prob. 5PCh. 1.3 - Prob. 6PCh. 1.3 - Prob. 7PCh. 1.3 - Prob. 8PCh. 1.3 - Prob. 9PCh. 1.3 - Prob. 10PCh. 1.3 - Prob. 11PCh. 1.3 - Prob. 12PCh. 1.3 - Prob. 13PCh. 1.3 - Prob. 14PCh. 1.3 - Prob. 15PCh. 1.3 - Prob. 16PCh. 1.3 - Prob. 17PCh. 1.3 - Prob. 18PCh. 1.3 - Prob. 19PCh. 1.3 - Prob. 20PCh. 1.3 - Prob. 21PCh. 1.3 - Prob. 23PCh. 1.3 - Prob. 24P
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