4х0 - X1 + X2=XoX3 xo - 2x1 + 3x2 = X2X3 -xo + 3x1 - 2x2 =X1X3 x2 + x? + x2 = 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:The nonlinear system has six real solutions.
4x0 x₁ + x₂ = X0X3
xo - 2x₁ + 3x₂ = x₂x3
-xo + 3x₁ - 2x₂ = X₁ X3
x² + x² + x² = 1
(a) Show that if (x0, X₁, X2, X3)T is a solution, then (-X0, −X₁, −X₂, X3)¹ is also a solution.
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