solve: [x X2 X3 Б 1 0 002-20 X1 0-1/2 0 140x₂ 0 00 01 0-1] LxS) ха 0 -12 + +2] 3et+ - 1/4 0 0 with [xild XoCo) Kylo) Xq(0) (X5(0) 17 NCAO 3

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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answer letter b

x"-
- 2y + 2z =
- 2x +49' + z = 1
2x
) sowe:
6) solve: [x₁
X₂
Xa
LX5
= 3e°t.
+2
- 4y+z'+az" = 0
0 1
002-20
0 -12 0 14 0
0 0
O
0 -1 2
000][x₂]
X2
X₂
01 X4
0 -1] (xs)
+
X (0) = 1, x (0) = 1, 4(0) = 4
Zo)= 3, 2(0) = 4
with [xild
3et+:
X₂(0)
- 1/4
x₂ (0)
0
Xa(0)
(X540)
O
0
4
3
Transcribed Image Text:x"- - 2y + 2z = - 2x +49' + z = 1 2x ) sowe: 6) solve: [x₁ X₂ Xa LX5 = 3e°t. +2 - 4y+z'+az" = 0 0 1 002-20 0 -12 0 14 0 0 0 O 0 -1 2 000][x₂] X2 X₂ 01 X4 0 -1] (xs) + X (0) = 1, x (0) = 1, 4(0) = 4 Zo)= 3, 2(0) = 4 with [xild 3et+: X₂(0) - 1/4 x₂ (0) 0 Xa(0) (X540) O 0 4 3
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