3. Which of the following differential equations describe the direction field shown below? " 1 1 / / 1 1 1 1 1 1 1 1 1 1 1 7 / 1 1 1 1 1 1 1 1 31 + 1 1 1 1 1 1 1 1 1 / 1 1 1 1 1 1 1 1 / 1 1 1 1 1 1 1 1 / 1 1 1 1 1 1 1 1 1 1 O O 1 1 1 1 = xy = -xy dy = x+y=1 da dy dx dx dy dx dy dx || II 815 1-3 1 Y 810 X Y / / 1 1 1 1 1 1 1 1 1 1 1 1 1 1 / 3 / " 1 + 1 1 1 / 1 + 1 14/ / 1 / 1 // 7 /

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
3. Which of the following differential equations describe the direction field shown below?
7
1
1
/ /
1
1
1
1
1 1
1
1
1
1
1
1
1
1
1 1
1
1
1
1
31
1
1 1
1 1 1
1
1
1
/
1 1 1
1 1
1
1 1
/ 1 1 1
1 1
1
1
1
1
1 1
1
+
1 1
1
1
1
1
/
3
1
/
/ /
" 7 +
1
O
O
1
1
1
= xy
= -xy
dy
= x+y=1
da
dy
dx
dx
dy
dx
dy
dx
||
II
815
1-3 1
Y
810
Y
/ /
1
1 1 1
1
1
1 1 1
1
1 1
1
1 1
1
14/
1
/ 1
1
7
/
Transcribed Image Text:3. Which of the following differential equations describe the direction field shown below? 7 1 1 / / 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 31 1 1 1 1 1 1 1 1 1 / 1 1 1 1 1 1 1 1 / 1 1 1 1 1 1 1 1 1 1 1 1 + 1 1 1 1 1 1 / 3 1 / / / " 7 + 1 O O 1 1 1 = xy = -xy dy = x+y=1 da dy dx dx dy dx dy dx || II 815 1-3 1 Y 810 Y / / 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14/ 1 / 1 1 7 /
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