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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following nonlinear system ofdifferential equations:

¤(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)
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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