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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94884f69-365e-43dc-a457-f3f8066ccdfc%2F026a8356-af29-40dd-b3af-fc7c8f2f7fac%2Fwssv15c_processed.png&w=3840&q=75)
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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