Match each of the following planar vector fields with the corresponding plot. Note that the vectors are scaled to avoid overlap. F (x, y) = (√x² + y² (-3y 3 -3y F(x, y) = (√²+²√²+²) 3x 2 1 0 5 2 -3 3 2 - 0 -1 4 با 4 7 3 // -3 -2 Answer Bank -2 3y √x²+x² -1 0 0 F(x, y) = (- F(x, y) = (-3x 1 1 3x √x²+x² 2 2 /x²+x² 3 3 9 3x 22² +2² 3y /x² +1² 4 3 2 1 0 -2 -3 -4 4 3 2 N -3 -3 3 1906-28 24 ME BEIN 2143 MULTFIGHT 1220121 -1 0 ....... 3 2 3 4

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
Match each of the following planar vector fields with the corresponding plot. Note that the vectors are scaled to
avoid overlap.
F (x, y) = (√x² + y²
(-3y
3
-3y
F(x, y) = (√²+²√²+²)
3x
2
1
0
5
2
-3
3
2
-
0
-1
4
با
4
7
3
//
-3
-2
Answer Bank
-2
3y
√x²+x²
-1
0
0
F(x, y) = (-
F(x, y) = (-3x
1
1
3x
√x²+x²
2
2
/x²+x²
3
3
9
3x
22² +2²
3y
/x² +1²
4
3
2
1
0
-2
-3
-4
4
3
2
N
-3
-3
3
1906-28 24
ME BEIN
2143
MULTFIGHT
1220121
-1
0
....... 3
2
3
4
Transcribed Image Text:Match each of the following planar vector fields with the corresponding plot. Note that the vectors are scaled to avoid overlap. F (x, y) = (√x² + y² (-3y 3 -3y F(x, y) = (√²+²√²+²) 3x 2 1 0 5 2 -3 3 2 - 0 -1 4 با 4 7 3 // -3 -2 Answer Bank -2 3y √x²+x² -1 0 0 F(x, y) = (- F(x, y) = (-3x 1 1 3x √x²+x² 2 2 /x²+x² 3 3 9 3x 22² +2² 3y /x² +1² 4 3 2 1 0 -2 -3 -4 4 3 2 N -3 -3 3 1906-28 24 ME BEIN 2143 MULTFIGHT 1220121 -1 0 ....... 3 2 3 4
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