Explain why the functions with the given graphs can't be solutions of the differential equation dy = e'(y - 1)2. dt (a) y A This function is increasing and decreasing. But dy/dt = et(y – 1)2 2 O for all t, implying that the graph of the solution of the differential equation cannot be decreasing on any interval. (b) y.
Explain why the functions with the given graphs can't be solutions of the differential equation dy = e'(y - 1)2. dt (a) y A This function is increasing and decreasing. But dy/dt = et(y – 1)2 2 O for all t, implying that the graph of the solution of the differential equation cannot be decreasing on any interval. (b) y.
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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I only need help with dy/dt = ?
![Explain why the functions with the given graphs can't be solutions of the differential equation
dy = e'(y - 1)².
dt
(a)
y,
1-
This function is increasing and decreasing. But dy/dt = e"(y - 1)2 2 0 for all t, implying that the graph of the solution of the differential equation cannot be decreasing
on any interval.
(b)
When y = 1, dy/dt =
|, but the graph does not have a horizontal
tangent line.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8caa8888-794e-4f6b-9ad1-1f5517b6770f%2Fa17aceab-cb8e-46b0-a854-d054eaed3d65%2Fqfro98l_processed.png&w=3840&q=75)
Transcribed Image Text:Explain why the functions with the given graphs can't be solutions of the differential equation
dy = e'(y - 1)².
dt
(a)
y,
1-
This function is increasing and decreasing. But dy/dt = e"(y - 1)2 2 0 for all t, implying that the graph of the solution of the differential equation cannot be decreasing
on any interval.
(b)
When y = 1, dy/dt =
|, but the graph does not have a horizontal
tangent line.
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