Fundamentals of Differential Equations
by Nagle, Saff, and Snider
7th edition)
Section 1.3 (p. 22)
Direction Fields
Draw the iscolines with their direction markers and sketch
several solutions including the curve satisfying the initial
conditions.
12.
ab
yaxis).
Put has marks of slope
0 (horiz. hash marks) on yaxis.
Put hash marks of slope 1 on
vertical line
Put hash marks of
slope
on vertical line
The solution where
is shown in red below, as well as numerous hash
ab
marks.
3
2
1
1
2
3
2
1
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ab
Put horiz. hash marks on line
(the yaxis).
Put hash marks of slope 1 on
the oblique line
(See diagram below)
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 Spring '08
 Chorin
 Differential Equations, Linear Algebra, Algebra, Equations, Nagle, hash marks, Saff

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