Example 6.20. Using the method of separation of symbols, prove that (i) u „x + u,x + ux³ Ди, + A?u, + .... 1. (ii) u, + +. 3! + xAuo +. 2! ....... ..... 1! 2! 3!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Example 6.20. Using the method of separation of symbols, prove that
3
(i) и х + и + и х3
u, +
1- x
Au 1
| A?u, + .
---
.....
-
(ii) ug
= e*
+ xAuo +.
Auo
.....
1!
2!
3!
2!
Transcribed Image Text:Example 6.20. Using the method of separation of symbols, prove that 3 (i) и х + и + и х3 u, + 1- x Au 1 | A?u, + . --- ..... - (ii) ug = e* + xAuo +. Auo ..... 1! 2! 3! 2!
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