Find the general solution of the given system of equations.

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 the general solution of the given system of equations. 

X =
(3)²+(1) ²¹
C1
3 1
− ³ ( 3 ) e² + ( 1 ) +
t
4 5
1
a ( 3 ) e + + a₂ ( 3 ) e ¹ + ²/ ( 3 ) te
1
5 1
C2
et
5
2
+ ( 4 ) ₁ - (i)
t
* ( 1 ) ++ * ( 1 ) ~²¹+ + } ( 3 ) **
5 1
C₂
e
3
tet
5
2
1
a ( ² ) e + + 0₂ ( 1 ) e² + ³2 ( 3 ) te
5 1
5
a ( ² ) e²¹ + a₂ ( ₁ ) e ²¹² + 1/2 ( 3 ) tei
1
1
5
2
3
5
+
1
(3)
(3)ret
3
- ³ ( 1 ) «² + ( 4 ) ₁ − ( 9 )
+-
1
et
4
3
- ³ ( b ) ₁ + - ( 4 ) ₁ - ( i )
1
1
+ t
5
40)*+(49)-(19)
2t
t
5
Transcribed Image Text:X = (3)²+(1) ²¹ C1 3 1 − ³ ( 3 ) e² + ( 1 ) + t 4 5 1 a ( 3 ) e + + a₂ ( 3 ) e ¹ + ²/ ( 3 ) te 1 5 1 C2 et 5 2 + ( 4 ) ₁ - (i) t * ( 1 ) ++ * ( 1 ) ~²¹+ + } ( 3 ) ** 5 1 C₂ e 3 tet 5 2 1 a ( ² ) e + + 0₂ ( 1 ) e² + ³2 ( 3 ) te 5 1 5 a ( ² ) e²¹ + a₂ ( ₁ ) e ²¹² + 1/2 ( 3 ) tei 1 1 5 2 3 5 + 1 (3) (3)ret 3 - ³ ( 1 ) «² + ( 4 ) ₁ − ( 9 ) +- 1 et 4 3 - ³ ( b ) ₁ + - ( 4 ) ₁ - ( i ) 1 1 + t 5 40)*+(49)-(19) 2t t 5
Find the general solution of the given system of equations.
4
-1
x = ( 1₁/13 - ¹₁1 ) x + ( ² )
x'
e
15 -4
t
Choose one▾
X =
Transcribed Image Text:Find the general solution of the given system of equations. 4 -1 x = ( 1₁/13 - ¹₁1 ) x + ( ² ) x' e 15 -4 t Choose one▾ X =
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