Use the direction field given below to sketch the graphs of the solutions that satisfy the given initial conditions. 20 40 20/ (a) y(0) = 8 20 20 20 20 10 10 10 -20 -10 10 20 -20 -10 10 20 -20 10 20 - 20 -10 10 20 -10 10 -10 -10 -20 -20 -20 -20 (b) y(0) -0 20 20 20 20 10 10 10 10 -20 -10 10 20 -20 -10 10 20 -20 -10 10 20 -20 -10 10 20 10 10 -10 10 -20 -20 -20 -20 (c) y(0) = -8 y 20 20 20 20 10 10 10 10 -20 -10 10 20 -20 10 20 -20 - 10 10 20 -20 -10 10 20 10 10 -10 10 -20 -20 -20 -20

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
Use the direction field given below to sketch the graphs of the solutions that satisfy the given initial conditions.
20
40-
-10
20
(a) y(0) = 8
y
20
20
20
20
10
16
10
10
-20
- 10
10
20
-20
-10
10
20
-20
10
20
-20
-10
10
20
-10
-10
-10
-10
-20
-20
-20
-20
(b) y(0) = 0
y
20
20
20
20
10
1아
10
10
-20
-10
10
20
-20
-10
10
20
-20
-10
10
20
-20
-10
10
20
-10
-10
-10
-10
-20
-20
-20
-20
(c) y(0) = -8
y
y
20
20
20
20
10
10
1아
10
-20
-10
10
20
-20
10
20
-20
-10
10
20
-20
-10
10
20
-10
-10
-1아
-10
-20
-20
-20
-20
Transcribed Image Text:Use the direction field given below to sketch the graphs of the solutions that satisfy the given initial conditions. 20 40- -10 20 (a) y(0) = 8 y 20 20 20 20 10 16 10 10 -20 - 10 10 20 -20 -10 10 20 -20 10 20 -20 -10 10 20 -10 -10 -10 -10 -20 -20 -20 -20 (b) y(0) = 0 y 20 20 20 20 10 1아 10 10 -20 -10 10 20 -20 -10 10 20 -20 -10 10 20 -20 -10 10 20 -10 -10 -10 -10 -20 -20 -20 -20 (c) y(0) = -8 y y 20 20 20 20 10 10 1아 10 -20 -10 10 20 -20 10 20 -20 -10 10 20 -20 -10 10 20 -10 -10 -1아 -10 -20 -20 -20 -20
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