y + 5xy + y = 6 In x + 4 where y (1) = -1, y (1) = 1 -1 +x - + 20 ... 7x5 -1+ 주 - (x-1)4 + 12 (x-1)7 504 + .. -2 + 4 (x-1)4 + (x-1)6 + ... 20 3 -1 - (x-1)³ (x-1)4 + ... | 2 4 -2 + x – 4 . (x-1)4 7(x-1) + 20 + ...

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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y + 5xy +y = 6 ln x + 4
where y (1) = -1, y (1) = 1
%3D
-1 + x – -
7x
+
4
20
(x-1)4
(x-1)7
-1 + †-
12
504
...
(x-1)4
(x-1)6
-2 +
4
20
-1 –
2
- +
(x-1)³
(x-1)4
+
4
...
(x-1)4
7(x-1)5
-2 + x –
4
20
+ ...
Transcribed Image Text:y + 5xy +y = 6 ln x + 4 where y (1) = -1, y (1) = 1 %3D -1 + x – - 7x + 4 20 (x-1)4 (x-1)7 -1 + †- 12 504 ... (x-1)4 (x-1)6 -2 + 4 20 -1 – 2 - + (x-1)³ (x-1)4 + 4 ... (x-1)4 7(x-1)5 -2 + x – 4 20 + ...
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