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Find the general solution of the simple homogeneous "system" below, which consists of a single linear equation. Give your answer as a linear combination of vectors. Let x2 and x3 be free variables. 2x18x2 + 6x3 = 0

Find the general solution of the simple homogeneous "system" below, which consists of a single linear equation. Give your answer as a linear combination of vectors. Let x2 and x3 be free variables. 2x18x2 + 6x3 = 0

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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Find the general solution of the simple homogeneous "system" below, which consists of a single linear equation. Give your answer as a linear combination of vectors. Let x2 and x3 be free variables. 2x1 - 8x2 + 6x3 = 0 O x2 = X₂ 0 + X3 1 (with X2, X3 free) Ox1 x2 = 4x2 x3 Ox1 x2 = X2 1 0 x3 x1 +3x2 (with x2, X3 free) x3 -3 A 1 + X3 0 (with X2, X3 free) 640-8 x2 FX2 1 + X30 (with X2, X3 free)
Transcribed Image Text:Find the general solution of the simple homogeneous "system" below, which consists of a single linear equation. Give your answer as a linear combination of vectors. Let x2 and x3 be free variables. 2x1 - 8x2 + 6x3 = 0 O x2 = X₂ 0 + X3 1 (with X2, X3 free) Ox1 x2 = 4x2 x3 Ox1 x2 = X2 1 0 x3 x1 +3x2 (with x2, X3 free) x3 -3 A 1 + X3 0 (with X2, X3 free) 640-8 x2 FX2 1 + X30 (with X2, X3 free)
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