For the following two problems, identify which differential equation corresponds to the given slope field. 5. (a) dy/dx = xy² (b) dy/dx = y² (c) dy/dx = y² + x (d) dy/dx = x² + y² -2 -1 2 0 -2 1 1 2 6. (a) dy/dx = x sin y ((b)) dy/dx = x cos y dy/dx = y sin x = y cos y (d) dy/dx -2 2 1 0 -1 -2 1 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please explain why b is the correct answer for number 6!
For the following two problems, identify which differential equation corresponds to the
given slope field.
5. (a)
dy/dx
(b) dy/dx = y²
(c) _dy/dx = y² + x
(d) dy/dx = x² + y²
-2
-1
xy²
2
O
-1
-2
2
6.
(a) dy/dx
((b)) dy/dx
-2
= x sin y
x cos y
dy/dx = y sin x
(d) dy/dx = y cos y
-1
=
2
1
0
-1
-2
1
2
Transcribed Image Text:For the following two problems, identify which differential equation corresponds to the given slope field. 5. (a) dy/dx (b) dy/dx = y² (c) _dy/dx = y² + x (d) dy/dx = x² + y² -2 -1 xy² 2 O -1 -2 2 6. (a) dy/dx ((b)) dy/dx -2 = x sin y x cos y dy/dx = y sin x (d) dy/dx = y cos y -1 = 2 1 0 -1 -2 1 2
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