5. (a) dy/dx = xy² dy/dx = y² (b) (c) dy/dx = y² + x dy/dx= x² + y² (d) 2 2 0 -2 1 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
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
0
-11
f(y)
O
6.
y
(a) dy/dx=xsin y
(b)
(c)
(d)
£2
dy/dx = x cos y
dy/dx = y sin a
dy/dx = y cos y
-1
0
1
-2
The next two problems concern the autonomous equation dy/dr = f(y). For the functio
f(y) given by the graph, find the equilibrium solutions and determine their stability.
7.
8.
f(y)
EX
2
Transcribed Image Text: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 0 -11 f(y) O 6. y (a) dy/dx=xsin y (b) (c) (d) £2 dy/dx = x cos y dy/dx = y sin a dy/dx = y cos y -1 0 1 -2 The next two problems concern the autonomous equation dy/dr = f(y). For the functio f(y) given by the graph, find the equilibrium solutions and determine their stability. 7. 8. f(y) EX 2
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