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2. Solve the System of First Order Simultaneous Differential Equations x₁ (1) = x₂(1) ; x₁(0)=0, x₂ (t) = 0, x₂ (t)=-6x₁(t)-7x₂(t)-3 by using (1) Diagonalization method (t-domain), (2) Laplace transform method (s-domain)

2. Solve the System of First Order Simultaneous Differential Equations x₁ (1) = x₂(1) ; x₁(0)=0, x₂ (t) = 0, x₂ (t)=-6x₁(t)-7x₂(t)-3 by using (1) Diagonalization method (t-domain), (2) Laplace transform method (s-domain)

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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2. Solve the System of First Order Simultaneous Differential Equations x₁ (1) = x₂ (1) ; x₁(0)=0, x₂(t) = 0, x₂ (t)=-6x₁(1)-7x₂(t)-3 by using (1) Diagonalization method (t-domain), (2) Laplace transform method (s-domain).
Transcribed Image Text:2. Solve the System of First Order Simultaneous Differential Equations x₁ (1) = x₂ (1) ; x₁(0)=0, x₂(t) = 0, x₂ (t)=-6x₁(1)-7x₂(t)-3 by using (1) Diagonalization method (t-domain), (2) Laplace transform method (s-domain).
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