1. Each of the diagrams below is the graph of one of the vector fields F₁ =i+xj F2 = 3i-2j F3 = (x - 1)² i + (y − 1)² j F4 = yi F5 = yi-2x j For each diagram, give the vector field (one of F₁,..., F5) that it is the graph of.

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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#1
1. Each of the diagrams below is the graph of one of the vector fields
F₁ =i+xj
F2 = 3i-2j
F3 = (x - 1)² i + (y − 1)² j
F₁ = yi
F5 = yi - 2x j
For each diagram, give the vector field (one of F₁,..., F5) that it is the graph of.
(a)
Y
11
L
Y
Y
Y
X
X
7
X
X
X
X
X 44
4
X
X
(b)
→ a
→
↳
Y
#
xx777
7x777
4
4 77777
H
4
»
^^^
7x771
77777
k
x
x
a
a
7
त्र
x
77 7
→ X
→
→
>
←
→
→
>
←
→
→ →> B
←
→
>
→
Y
B
(c)
←
←
→
>>
fff ← ← ←tt
←←←
→
→
→->
→ + →
>
→
←
←
(ft. ←TT
Transcribed Image Text:1. Each of the diagrams below is the graph of one of the vector fields F₁ =i+xj F2 = 3i-2j F3 = (x - 1)² i + (y − 1)² j F₁ = yi F5 = yi - 2x j For each diagram, give the vector field (one of F₁,..., F5) that it is the graph of. (a) Y 11 L Y Y Y X X 7 X X X X X 44 4 X X (b) → a → ↳ Y # xx777 7x777 4 4 77777 H 4 » ^^^ 7x771 77777 k x x a a 7 त्र x 77 7 → X → → > ← → → > ← → → →> B ← → > → Y B (c) ← ← → >> fff ← ← ←tt ←←← → → →-> → + → > → ← ← (ft. ←TT
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