For each of the following differential equations, qualitatively plot their direction field in the (t, y)-plane. Moreover, on each direction field, draw two solu- tions that satisfy y(1) = 3 and y(1) = 1 respectively. (a) y' (t) = y/2 − 1, - (b) y' (t) = −y/2+1
For each of the following differential equations, qualitatively plot their direction field in the (t, y)-plane. Moreover, on each direction field, draw two solu- tions that satisfy y(1) = 3 and y(1) = 1 respectively. (a) y' (t) = y/2 − 1, - (b) y' (t) = −y/2+1
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
Question
![For each of the following differential equations, qualitatively plot
their direction field in the (t, y)-plane. Moreover, on each direction field, draw two solu-
tions that satisfy y(1) = 3 and y(1) = 1 respectively.
(a) y' (t) = y/2 − 1,
-
(b) y' (t) = −y/2+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeefd442-7c64-4a51-8ed1-c0196ac6a13e%2F13861a54-dd64-4237-a514-fbd0a58e9cc8%2F53puw8_processed.png&w=3840&q=75)
Transcribed Image Text:For each of the following differential equations, qualitatively plot
their direction field in the (t, y)-plane. Moreover, on each direction field, draw two solu-
tions that satisfy y(1) = 3 and y(1) = 1 respectively.
(a) y' (t) = y/2 − 1,
-
(b) y' (t) = −y/2+1
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