The system of first order differential equations y₁ = 5y₁ + 1y2 y2 = −4y₁ + 1y2 where y₁ (0) = 4, y2 (0) = -7 has solution y₁(t) = (4-t) e³t -7e³t y₂(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.
Chapter11: Differential Equations
Section11.5: Nonlinear Systems Of Differential Equations
Problem 11E: Whales and Krill For the system of differential equations 10, suppose that F11 and F21. Show that...
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The system of first order differential equations
y₁ = 5y₁ + 1y2
y₂ = -4y₁ + 1y2
where y₁ (0) = 4, y₂ (0)
y₁ (t) = (4 – t)e³t
Y₂(t)
-7e³t
=
= -7 has solution
Transcribed Image Text:The system of first order differential equations y₁ = 5y₁ + 1y2 y₂ = -4y₁ + 1y2 where y₁ (0) = 4, y₂ (0) y₁ (t) = (4 – t)e³t Y₂(t) -7e³t = = -7 has solution
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,