Find the general solution of the given system of equations. 9 x = (-15 ²5 ) x + (²) -15

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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Question
Find the general solution of the given system of equations.
9
x = ( − 15
1₁ ) x + (²)
9
- 15
1
9
1
1 13
x=()+(")+( ) + ਤਲ ( 3 )
175 16
576 15
1 9
% 4 ( ) –
+ ਕ ( ) –
(1) + (1)
cz(1)e
el ©2]
+t()
1
576 15
ਸ ( 3 )
X = C₁
175 16
I
3
1
° x = ₁₁ ( ₁ ) ² + 0₂ ( 1 ) ² + √75 (²3) ² - ²7 (²9) ² + 3576 ( 13 )
j
2
-1
-241
£
(2) - ( ) --- () ¹² + ₂-² ( ²7 ) ² ² + ₁ ² ( 1 ) ¹² = 0
I-
1 9
1
° x = ₁₂ ( ₁ ) e* + c₂ ( ¹₁ ) ²²" + 775 ( ₁6 ) ² + 27 (3) ¹ - 5760 ( 13 )
j
15
Transcribed Image Text:Find the general solution of the given system of equations. 9 x = ( − 15 1₁ ) x + (²) 9 - 15 1 9 1 1 13 x=()+(")+( ) + ਤਲ ( 3 ) 175 16 576 15 1 9 % 4 ( ) – + ਕ ( ) – (1) + (1) cz(1)e el ©2] +t() 1 576 15 ਸ ( 3 ) X = C₁ 175 16 I 3 1 ° x = ₁₁ ( ₁ ) ² + 0₂ ( 1 ) ² + √75 (²3) ² - ²7 (²9) ² + 3576 ( 13 ) j 2 -1 -241 £ (2) - ( ) --- () ¹² + ₂-² ( ²7 ) ² ² + ₁ ² ( 1 ) ¹² = 0 I- 1 9 1 ° x = ₁₂ ( ₁ ) e* + c₂ ( ¹₁ ) ²²" + 775 ( ₁6 ) ² + 27 (3) ¹ - 5760 ( 13 ) j 15
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