Use the matrix methods to find the general solution of each of the follow- ing homogeneous differentia equations. (a) x² = ( 3 (b) x' (c) x' (d) x' (e) x' x' (g) x' (h) x' || (i) x' = || = = || = - || = 5 -1 5 -4 (1) x-(₂-1)× 2 = 2 3 -1 -2 6-1 3 2 3 2 6 -1 2 -3 3 2 ( ( 4 -5 6 1 7 4 -1 3 1 2 X X X X X X X X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please do e, f, g, h and i.

Use the matrix methods to find the general solution of each of the follow-
ing homogeneous differentia equations.
(a) x'
(b) x'
(c) x'
(d) x'
(e) x'
(f) x'
(g) x'
(h) x'
(i) x'
=
=
=
=
=
=
=
=
=
(
(
(
5
3
2 3
-1 -2
3
6
-
6 -1
3
2
2
3
X
:)
)
5
2
2
-1
-3
2
-4
1
4 -5
1 6
7 4
-1 3
1-2
2 -3
)
X
X
X
X
X
X
X
X
Transcribed Image Text:Use the matrix methods to find the general solution of each of the follow- ing homogeneous differentia equations. (a) x' (b) x' (c) x' (d) x' (e) x' (f) x' (g) x' (h) x' (i) x' = = = = = = = = = ( ( ( 5 3 2 3 -1 -2 3 6 - 6 -1 3 2 2 3 X :) ) 5 2 2 -1 -3 2 -4 1 4 -5 1 6 7 4 -1 3 1-2 2 -3 ) X X X X X X X X
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