dY vector function Y(t) =( 8) that satisfies r(t) y(t) AY dt -(:) 3 2 and Y(0) = ) where A = 0 3 (i) Find the solution of the initial-value problem y(t) (ii) Find lim if it exists t-00 r(t)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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Show all your work. Consider the initial-value problem for the

ZOOM
+
x(t)
y(t)
dY
vector function Y(t)
that satisfies
dt
= AY
3 2
0 3
where A =
and Y(0) =
(i) Find the solution of the initial-value problem
y(t)
lim
if it exists
t→o x(t)
(ii) Find
Transcribed Image Text:ZOOM + x(t) y(t) dY vector function Y(t) that satisfies dt = AY 3 2 0 3 where A = and Y(0) = (i) Find the solution of the initial-value problem y(t) lim if it exists t→o x(t) (ii) Find
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,