Q4. Solve x- 2y = x² + [Cauchy-Euler differential equations]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve question number 4 and 5 ASAP

Q4. Solve x2- 2y = x² +
[Cauchy-Euler differential equations]
Q5. Use the method of variation of parameters to solve (x - 1)y"- xy' + y = (x- 1)2.
(Variation of parameters]
06. (a) Verify that f ==
2y
is the solution of
= f(x, y)
Transcribed Image Text:Q4. Solve x2- 2y = x² + [Cauchy-Euler differential equations] Q5. Use the method of variation of parameters to solve (x - 1)y"- xy' + y = (x- 1)2. (Variation of parameters] 06. (a) Verify that f == 2y is the solution of = f(x, y)
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