a. x²y" + 5xy' + 4y = 0

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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Solve the following ODEs of higher order variation of parameters

a. x²y" + 5xy' + 4y = 0
b. 3x²y" + 6xy + y = 0
x³y""-6y=0
3
c.
2
d. x²y" + 3xy' = 0,y(1) = 0,y'(1) = 4
e. x²y" — 5xy' + 8y = 8x6, y() = 0, y ( ) =
-
y|
0
Transcribed Image Text:a. x²y" + 5xy' + 4y = 0 b. 3x²y" + 6xy + y = 0 x³y""-6y=0 3 c. 2 d. x²y" + 3xy' = 0,y(1) = 0,y'(1) = 4 e. x²y" — 5xy' + 8y = 8x6, y() = 0, y ( ) = - y| 0
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