1. Match the differential equation listed below with the corresponding slope field from above. O (a) O (b) O (c) The differential equation is: y = (y + 2)(1 – y²) -
1. Match the differential equation listed below with the corresponding slope field from above. O (a) O (b) O (c) The differential equation is: y = (y + 2)(1 – y²) -
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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(a)
(b)
(c)
Transcribed Image Text:1. Match the differential equation listed below with the corresponding slope field from above.
О (а) О (Ъ) О ()
The differential equation is:
y = (y + 2)(1 – y²)
2. Match the differential equation listed below with the corresponding slope field from above.
O (a)
O (b)
O (c)
The differential equation is:
y' = sin y
3. The graph of the function f(y) is given below in Figure (a). Using the line in Figure (b), sketch the
phase line for the autonomous differential equation
asymptotically stable, unstable or semi-stable. Find the asymptotic behavior of the solution
with given initial value.
= f(y). Classify each equilibrium point as
f(y)
ko.0)
3.0)
(2,0)
If y(0) = 2, lim y(t) =
(a)
(b)
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