Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=3, x₂ (0) = 5, and x3 (0) = 7.- 12 - 141311x' =- 2t103t12 -1x; X₁ = e2t-2X₂ = e-1X₂ = e- 1- 10 -10 3210The particular solution is x₁ (t) = x₂(t) =_and x3 (t)=

Linear combination is the general solution , then satisfying the initial conditions.

Answered: Find a particular solution of the…

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 a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0)=3, x₂(0)=5, and x3 (0) = 7. - 12 - 14 1 3 1 x' = -2t 3t 12 -1x; x₁ = e -2 x₂ = e -1 10 -10 -10 3 X3 = 2t - 1 2 1 0 The particular solution is x₁ (t) = x₂(t) = and x₂(t)=₁