Match the differential equations with the solution graphs labeled I-IV. Give reasons for your choices. I II III y A IV (a) y' = 1 + x2 + y2 y' = 1 + x2 + y2 ?v1 and y' - ? v as x - co. The only curve satisfying these conditions is labeled ? v. (b) y' = xe-2 - 2 y' = xe- - ?v O if x > 0 and y' ?v O if x < 0. The only curve with -Select--- v tangent slopes with x < 0 and -Select--- v tangent slopes when x > 0 is labeled ? v (c) y' = 1+ e+ y' = 1 + ?0 and y' - ? v as x - co. The only curve satisfying these conditions is labeled ? v. + y² (d) y' = sin(xy) cos(xy) y' = sin(xy) cos(xy) ?0 if y = 0, which is the solution graph labeled ? v
Match the differential equations with the solution graphs labeled I-IV. Give reasons for your choices. I II III y A IV (a) y' = 1 + x2 + y2 y' = 1 + x2 + y2 ?v1 and y' - ? v as x - co. The only curve satisfying these conditions is labeled ? v. (b) y' = xe-2 - 2 y' = xe- - ?v O if x > 0 and y' ?v O if x < 0. The only curve with -Select--- v tangent slopes with x < 0 and -Select--- v tangent slopes when x > 0 is labeled ? v (c) y' = 1+ e+ y' = 1 + ?0 and y' - ? v as x - co. The only curve satisfying these conditions is labeled ? v. + y² (d) y' = sin(xy) cos(xy) y' = sin(xy) cos(xy) ?0 if y = 0, which is the solution graph labeled ? v
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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Transcribed Image Text:Match the differential equations with the solution graphs labeled I-IV. Give reasons for your choices.
I
II
III
y A
IV
(a) y' = 1 + x2 + y2
y' = 1 + x2 + y2 ?v1 and y' - ? v as x - co. The only curve satisfying these conditions is labeled ? v.
(b) y' = xe-2 - 2
y' = xe- - ?v O if x > 0 and y' ?v O if x < 0. The only curve with -Select--- v tangent slopes with x < 0 and -Select--- v tangent slopes when x > 0 is
labeled ? v
(c)
y' =
1+ e+
y' =
1 +
?0 and y' - ? v as x - co. The only curve satisfying these conditions is labeled ? v.
+ y²
(d)
y' = sin(xy) cos(xy)
y' = sin(xy) cos(xy) ?0 if y = 0, which is the solution graph labeled ? v
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