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The system of first order differential equations y₁ = −4y₁ + 5y2 +1 y2 = 5y₁ - 4y2 +1 where y₁ (0) = 0, y₂ (0) = 0 has solution y₁(t)= 3 t 10/20 5 + 5 -9t t 2 -9t e y2(t) = ²/3e² + 2²/1² 5 - 1 1 5

The system of first order differential equations y₁ = −4y₁ + 5y2 +1 y2 = 5y₁ - 4y2 +1 where y₁ (0) = 0, y₂ (0) = 0 has solution y₁(t)= 3 t 10/20 5 + 5 -9t t 2 -9t e y2(t) = ²/3e² + 2²/1² 5 - 1 1 5

Calculus For The Life Sciences
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 = −4y₁ + 5y2 +1 y2 = 5y₁ - 4y2 +1 where y₁ (0) = 0, y₂ (0) = 0 has solution y₁(t)= 3 t 10/20 5 + 5 -9t y2(t) = ¹ + 2²/1² 3 t 2 -9t e e 5 - 1 1 5
Transcribed Image Text:The system of first order differential equations y₁ = −4y₁ + 5y2 +1 y2 = 5y₁ - 4y2 +1 where y₁ (0) = 0, y₂ (0) = 0 has solution y₁(t)= 3 t 10/20 5 + 5 -9t y2(t) = ¹ + 2²/1² 3 t 2 -9t e e 5 - 1 1 5
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