Find the general solution of the system of equations 8 -4 t x': (₁ 1 ) x + ( ++ ³2₂) ₁ ² > t> 0. 16 -8 -t-2 x = Choose one Choose one «(1) +«[( 1 )·−4 (9)]- ( 1 )~²+ ( 3 ) +¹−4( 2 )¢ 2 0 a( 1 ) + ~[( 1 )++ (9)]- ( 1 )~¹-(4)0+ - (1) int t-2 2 2 0 1 a(2) + a[( 2 ) + + ¼ ( 1 )] − ( 3 ) + ² + ( 3 ) ² − 4( 2 ) m² + In t |« ( 1 ) + ~[( ¹ ) ‹-³ ( 9 )] − ( 1 ) +¹ + ( 4 )r¹-(3) m² 8 2 t «( 1 ) + ~[( :!) - (9)]- ( 1 ) ~¹ + ( 1 ) ²− 4( 2 ) m² · Int 0 =

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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Question

Find the general solution of the system of equations.

Find the general solution of the system of equations
8
-4
t
x':
(₁
²1 ) x + ( ++ ³2₂) ₁ ² >
t> 0.
16
-8
-t-2
x = Choose one
Choose one
~( 1 ) + ~[( 1 ) · −¥ ( 9 )] − ( 1 ) ~* + ( 3 ) ~³-4( ¹ ) ª
2
-
e²
0
«( 1 ) + «[( 1 ) ¹ + ( 1)]- ( 1 )~¹ - (2) ¹ − ( ¦) int
4
-
2
2
4
0
1
a( 2 ) + a[( 2 ) + + ( i )] − ( b ) + ² + ( 3 ) ² − 4( 2 ) me
+
It
In t
=
·¶ (†;) ---( 5 ) + ~( ¦ ) - [(61 ) ¦-·(†)]+(†)»
:)
«( ¹ ) + ~[( ¹ ) +- ( ;)] − ( 1 ) ~¹ + ( ;) ²− 4( 2 ) ime
·
Int
0
Transcribed Image Text:Find the general solution of the system of equations 8 -4 t x': (₁ ²1 ) x + ( ++ ³2₂) ₁ ² > t> 0. 16 -8 -t-2 x = Choose one Choose one ~( 1 ) + ~[( 1 ) · −¥ ( 9 )] − ( 1 ) ~* + ( 3 ) ~³-4( ¹ ) ª 2 - e² 0 «( 1 ) + «[( 1 ) ¹ + ( 1)]- ( 1 )~¹ - (2) ¹ − ( ¦) int 4 - 2 2 4 0 1 a( 2 ) + a[( 2 ) + + ( i )] − ( b ) + ² + ( 3 ) ² − 4( 2 ) me + It In t = ·¶ (†;) ---( 5 ) + ~( ¦ ) - [(61 ) ¦-·(†)]+(†)» :) «( ¹ ) + ~[( ¹ ) +- ( ;)] − ( 1 ) ~¹ + ( ;) ²− 4( 2 ) ime · Int 0
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