HELP ASAP!!!! #30, #31, #32
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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HELP ASAP!!!! #30, #31, #32

Transcribed Image Text:28. Consider the autonomous equation dy/dt = f(y) where f(y) is continuously dif-
ferentiable, and suppose we know that f(-1) = f(2)= 0.
(a) Describe all the possible behaviors of the solution y(t) that satisfies the initial
condition y(0) = 1.
29.
(b) Suppose also that f(y) > 0 for -1 < y < 2. Describe all the possible behav-
iors of the solution y(t) that satisfies the initial condition y(0) = 1.
In Exercises 29-32, the graph of a function f(y) is given. Sketch the phase line for the
autonomous differential equation dy/dt = f(y).
30.
f(y)
y
f(y)
M
y
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Transcribed Image Text:31.
f (y)
32.
متاست شما
y
1.6 Equilibria and the Phase Line 91
f(y)
y
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