2xy"+ oy' ty :0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve the solution near the origin using frobenious
Transcribed Image Text:2xy"+ oy! ty=O
ty:0
(-1)"x"
2"-1n! (n + 2)!
n=0
1
1
13
- y In x + y. (-;
x +..
2x2 5x 1580'
(-1)"x"
2n-1n! (n + 2)!
1
1
x + y1
1
21
---
Зx2 4х 2260'
2260 *+ … )
(-1)"x"
2 2n-1n! (n + 2)!
1
ya -y, In x + y
17
x +.
4x ' 2040"
(-1)"x"
2n-1n! (n + 2)!
1
Yı In x + y1
1
19
16% Inx+y(-
2x² 3x
2160 *+ …
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