30. x²y" - 5xy + 8y = 8x6, y ³ (²¹) = 0,✓ ( ¹² ) = - y = 0 2
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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Transcribed Image Text:27. x2y + xy + y = 0, y(1) = 1, y' (1) = 2
Answer +
y = cos(lnx) + 2 sin(lnx)
28. x²y" - 3xy' + 4y = 0, y(1) = 5, y' (1) = 3
29. xy" + y = x, y(1) = 1, y (1) =
-
Answer +
3
y=
-
+1/2²
In x +
T4
૨૨
1
2
30. -
·x²y" — 5xy + 8y = 8xº, y ( 7 ) = 0,3
2
(²1)
2
= 0
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