The direction field for dy/dx = 2x+y is shown in Figure 1 13
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:The direction field for dy/dx = 2x+y is shown in
Figure 1.13.
I
(a) Sketch the solution curve that passes through
(0, -2). From this sketch, write the equation for the
solution.
/ 76
75
/4
Figure 1.13 Direction field for dy/dx = 2x + y
X
(b) Sketch the solution curve that passes through
(-1,3).
(c) What can you say about the solution in part (b) as
x → +∞? How about x→∞ ?
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