Solve the system of differential equations x₁' = 6x₁ + 0x2 – 2x3 x2= 1x₁ + 1x2 + 2x3 x3 = 1x₁ + 0x₂ + 3x3 x₁(0) = −1, x₂(0) = 0 x3(0) = 0 x₁(t) = x₂(t) = x3(t) =
Solve the system of differential equations x₁' = 6x₁ + 0x2 – 2x3 x2= 1x₁ + 1x2 + 2x3 x3 = 1x₁ + 0x₂ + 3x3 x₁(0) = −1, x₂(0) = 0 x3(0) = 0 x₁(t) = x₂(t) = x3(t) =
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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Homework 16:
Question 9

Transcribed Image Text:Solve the system of differential equations
x₁= 6x1 + 0x2 - 2x3
x2= 1x₁ + 1x2 + 2x3
x3 = 1x₁ + 0x2 + 3x3
x₁(0) = −1, x₂(0) = 0 x3(0) = 0
x₁(t) =
x₂(t) =
x3(t) =
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