dy –7y + xy dx r(14 – x) – x²y and dt dt (i) Find all the equilibria (ii) Assume that r(to) = 2 and y(to) = 0. Find lim x(t) and lim y(t) t00
dy –7y + xy dx r(14 – x) – x²y and dt dt (i) Find all the equilibria (ii) Assume that r(to) = 2 and y(to) = 0. Find lim x(t) and lim y(t) t00
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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Question
Consider the following nonlinear system ofdifferential equations:
Transcribed Image Text:¤(14 – x) – x²y and
dy
– 7y + xy
dt
dt
(i) Find all the equilibria
(ii) Assume that r(to) = 2 and y(to) = 0. Find lim r(t) and lim y(t)
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