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Consider the system of differential equations with solutions y ₁ y ₂ ÿ(t) = C₁ y₁ (t) y₂ (t) = = = = 3y1 + 2y2, 4y1 + y2, C₁e5t - c₂e-t, C₁e5t +2c₂e-t, for any constants c₁ and c₂. Rewrite the solution of the equations in vector form as ÿ(t) = c₁ÿ₁(t) + c2ÿ2(t). | + C₂

Consider the system of differential equations with solutions y ₁ y ₂ ÿ(t) = C₁ y₁ (t) y₂ (t) = = = = 3y1 + 2y2, 4y1 + y2, C₁e5t - c₂e-t, C₁e5t +2c₂e-t, for any constants c₁ and c₂. Rewrite the solution of the equations in vector form as ÿ(t) = c₁ÿ₁(t) + c2ÿ2(t). | + C₂

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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This is the third part of a three-part problem. Consider the system of differential equations with solutions for any constants C1 and ÿ(t) = y₁ Y/₂ = C1 y₁ (t) Y2 (t) = = = = 3y1 + 2y2, 4y1 + y2, C₁e5t - c₂e- c₁e5t +2c₂e-t, C2. Rewrite the solution of the equations in vector form as y(t) = C1ÿ1(t) + C2Ÿ2(t). " + C₂
Transcribed Image Text:This is the third part of a three-part problem. Consider the system of differential equations with solutions for any constants C1 and ÿ(t) = y₁ Y/₂ = C1 y₁ (t) Y2 (t) = = = = 3y1 + 2y2, 4y1 + y2, C₁e5t - c₂e- c₁e5t +2c₂e-t, C2. Rewrite the solution of the equations in vector form as y(t) = C1ÿ1(t) + C2Ÿ2(t). " + C₂
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