In Exercises 1 and 2, differential equations and their associated slope fields are given. For each equation: (a) Sketch a number of different solutions on the slope field. You may do this part directly on this sheet! (b) Describe briefly the behavior of the solution with y(0) = 1/2 as t increases. dy dy 1. = 2y - t 2. = (t + 1)y dt. dt y y
In Exercises 1 and 2, differential equations and their associated slope fields are given. For each equation: (a) Sketch a number of different solutions on the slope field. You may do this part directly on this sheet! (b) Describe briefly the behavior of the solution with y(0) = 1/2 as t increases. dy dy 1. = 2y - t 2. = (t + 1)y dt. dt y y
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![In Exercises 1 and 2, differential equations and their associated slope fields are given. For each equation:
(a) Sketch a number of different solutions on the slope field. You may do this part directly on this sheet!
(b) Describe briefly the behavior of the solution with y(0) = 1/2 as t increases.
dy
dt.
dy
1.
= 2y – t
2.
= (t + 1)y
dt
y
y
-2
-1-
it](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f42db7f-5d63-42d4-89b9-bc5373ca5a94%2F4e3f4745-9bbb-4c0c-9c6c-f4bb6500c556%2Fmd859qz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Exercises 1 and 2, differential equations and their associated slope fields are given. For each equation:
(a) Sketch a number of different solutions on the slope field. You may do this part directly on this sheet!
(b) Describe briefly the behavior of the solution with y(0) = 1/2 as t increases.
dy
dt.
dy
1.
= 2y – t
2.
= (t + 1)y
dt
y
y
-2
-1-
it
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