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The system of first order differential equations: has solution: yı(t) Y₂(t) = = [3₁ 13/12 = = -8 y₁+2 Y2, -52 yı + 12 y2, Note: You must express the answer in terms of real numbers only. y₁ (0) = -4 Y₂ (0) = -25

The system of first order differential equations: has solution: yı(t) Y₂(t) = = [3₁ 13/12 = = -8 y₁+2 Y2, -52 yı + 12 y2, Note: You must express the answer in terms of real numbers only. y₁ (0) = -4 Y₂ (0) = -25

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The system of first order differential equations: has solution: yı(t) Y₂(t) = = [3₁ 13/12 = = -8 yı + 2 y2, -52 yı + 12 y2, Note: You must express the answer in terms of real numbers only. y₁ (0) = -4 Y₂ (0) = -25
Transcribed Image Text:The system of first order differential equations: has solution: yı(t) Y₂(t) = = [3₁ 13/12 = = -8 yı + 2 y2, -52 yı + 12 y2, Note: You must express the answer in terms of real numbers only. y₁ (0) = -4 Y₂ (0) = -25
The system of differential equations : X₁ 2 X3 V 3 has the solution Y = C₁ e¹¹¹ V₁ + C₂ e¹²² √2 + С3 e¹³² where (in increasing order A₁ < λ₂ <^3) : = = and V₁ 0 and V 2 = = Y' and V3 = = [12 6 4 0 -8 -6 15 4 -11 Y
Transcribed Image Text:The system of differential equations : X₁ 2 X3 V 3 has the solution Y = C₁ e¹¹¹ V₁ + C₂ e¹²² √2 + С3 e¹³² where (in increasing order A₁ < λ₂ <^3) : = = and V₁ 0 and V 2 = = Y' and V3 = = [12 6 4 0 -8 -6 15 4 -11 Y
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