general x' 50 -6 -BHM 2 -1 -2 x + 0 4-2-4 x(t) = C₁[6,2,5] + C₂e¹[3,1,2] + C3[2,1,2] + [14,4,8]e²t 3e2t mogen 0 system X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general solution for the nonhomogeneous first-order system.
5 0 -6
2 -1 -2 X +
4
-2 -4
X' =
3e2t
0
x(t) = C₁ [6,2,5] + С₂e¹[3,1,2] + C3[2,1,2] + [14,4,8 ]e²t
X
Transcribed Image Text:Find the general solution for the nonhomogeneous first-order system. 5 0 -6 2 -1 -2 X + 4 -2 -4 X' = 3e2t 0 x(t) = C₁ [6,2,5] + С₂e¹[3,1,2] + C3[2,1,2] + [14,4,8 ]e²t X
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