Solve the following system of differential equations: r(t) = 4x₁(t) = x₂(t); x₂(t) = − x₁(t) + 3x2(t) + x3(t); x3 (t) = 3x₁ (t) — 2x2(t) + 2x3(t). with initial conditions x₁(0) = x₂(0) = x3 (0) = 1.
Solve the following system of differential equations: r(t) = 4x₁(t) = x₂(t); x₂(t) = − x₁(t) + 3x2(t) + x3(t); x3 (t) = 3x₁ (t) — 2x2(t) + 2x3(t). with initial conditions x₁(0) = x₂(0) = x3 (0) = 1.
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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Transcribed Image Text:Solve the following system of differential equations:
r(t) = 4x₁(t) = x₂(t);
x₂(t) = − x₁(t) + 3x2(t) + x3(t);
x3 (t) = 3x₁ (t) — 2x2(t) + 2x3(t).
with initial conditions x₁(0) = x₂(0) = x3 (0) = 1.
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