X = 82 + Ilt y = - 41 - Gt t ソ - 8 - 9 - 17 13 - 10 - 28 19 2.) 2x + 5y 17 SOLUTION : (2,5)-1 and 17. Now, 5 = (2)(2) + IE GCD - 2(1) 2 = Then, compute for the values of the remainder, |- 5- 2(2) Thus , we have, |= 5- 2(2) |= 5(1) + 2 (-2) Yo = 1 NOw, X - 17(-2) + 5t y = 17(1) - 2t Then for the valuas of t that satistier x70 and y70 we have , X- 子-2)+ 5t 70 りF()- 2t 70 も70.8 8.5 7 t 3 8
X = 82 + Ilt y = - 41 - Gt t ソ - 8 - 9 - 17 13 - 10 - 28 19 2.) 2x + 5y 17 SOLUTION : (2,5)-1 and 17. Now, 5 = (2)(2) + IE GCD - 2(1) 2 = Then, compute for the values of the remainder, |- 5- 2(2) Thus , we have, |= 5- 2(2) |= 5(1) + 2 (-2) Yo = 1 NOw, X - 17(-2) + 5t y = 17(1) - 2t Then for the valuas of t that satistier x70 and y70 we have , X- 子-2)+ 5t 70 りF()- 2t 70 も70.8 8.5 7 t 3 8
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
Can you please explain it step by step? I'm trying to understand how they arrived in this answer. Please and thank you.
![X = 82 + Ilt
y = - 41 - Gt
t
ソ
- 8
- 9
- 17
13
- 10
- 28
19
2.) 2x + 5y 17
SOLUTION :
(2,5)-1 and 17.
Now,
5 =
(2)(2) + IE GCD
- 2(1)
2 =
Then, compute for the values of the remainder ,
|- 5 - 2(2)
Thus , we have,
|= 5-
2(2)
|= 5(1) + 2 (-2)
2
Yo = 1
NOw,
x - 17(-2) + 5t
y = 17(1) - 2t
Then for the valuas of t that satistiar x70 and
y70
we have ,
x - 17(-2)+ 54 70
りF()- 2t 70
6 .0 ל t
8.5 7 t
3
8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F804d0c64-70dc-4283-b995-86348e2ceae7%2F900369a5-e167-43e2-bd4f-edef058f4b8e%2Fujc2rdw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:X = 82 + Ilt
y = - 41 - Gt
t
ソ
- 8
- 9
- 17
13
- 10
- 28
19
2.) 2x + 5y 17
SOLUTION :
(2,5)-1 and 17.
Now,
5 =
(2)(2) + IE GCD
- 2(1)
2 =
Then, compute for the values of the remainder ,
|- 5 - 2(2)
Thus , we have,
|= 5-
2(2)
|= 5(1) + 2 (-2)
2
Yo = 1
NOw,
x - 17(-2) + 5t
y = 17(1) - 2t
Then for the valuas of t that satistiar x70 and
y70
we have ,
x - 17(-2)+ 54 70
りF()- 2t 70
6 .0 ל t
8.5 7 t
3
8
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