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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 y₂(t) = -7e³t 3t

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 y₂(t) = -7e³t 3t

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.CR: Chapter 11 Review
Problem 15CR
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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 y₂(t) = -7e³t 3t
Transcribed Image Text: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 y₂(t) = -7e³t 3t
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