The system of first order differential equations: has solution: yı (t) Y₂ (t) = e2t (4 cos 2t + 5 sin 2t) 2t e²t (25 cos 2t + 21 sin 2t) Note: You must express the answer in terms of real numbers only. ไม่ 13/12 = -8 yı+ 2 y2, -52 y₁ + 12 y2, y₁ (0) = −4 Y2 (0) = -25

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 12E
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The system of first order differential equations:
has solution:
y₁ (t)
Y₂(t)
=
e²t (4 cos 2t + 5 sin 2t)
e2t (25 cos 2t + 21 sin 2t)
Note: You must express the answer in terms of real numbers only.
S3/1₁
ly/2
-8 yı + 2 y2,
-52 yı + 12 y2,
y₁ (0) = -4
Y₂(0) = -25
Transcribed Image Text:The system of first order differential equations: has solution: y₁ (t) Y₂(t) = e²t (4 cos 2t + 5 sin 2t) e2t (25 cos 2t + 21 sin 2t) Note: You must express the answer in terms of real numbers only. S3/1₁ ly/2 -8 yı + 2 y2, -52 yı + 12 y2, y₁ (0) = -4 Y₂(0) = -25
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