b) If y(t) is the solution satisfying the initial condition y(0) 1, find the value of lim y(t).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the autonomous ODE:
y' = - y?(y – 2)
a) Sketch a phase chart for the ODE.
b) If y(t) is the solution satisfying the initial condition y(0)
1, find the value of lim
y(t).
t+ 00
Transcribed Image Text:Consider the autonomous ODE: y' = - y?(y – 2) a) Sketch a phase chart for the ODE. b) If y(t) is the solution satisfying the initial condition y(0) 1, find the value of lim y(t). t+ 00
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