The non-homogeneous Cauchy Euler equation x²y" + 2xy'-6y=10x² has the solution, (a) y =q₁x² +3 +2x²log.x (b) y =q₁x² + 2x² log x (c) y =q₁x² + X X - + 2x² log x - (d) y =q₁x² + 2x² log.x -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The non-homogeneous Cauchy Euler equation x²y" + 2xy'-6y=10x² has the solution,
(a) y =q₁x² +3 +2x²log.x
(b) y =q₁x² + 2x² log x
/
(c) y =q₁x² +
-
+ 2x² log x
(d) y = c₂x² + 2x² log x
²
Transcribed Image Text:The non-homogeneous Cauchy Euler equation x²y" + 2xy'-6y=10x² has the solution, (a) y =q₁x² +3 +2x²log.x (b) y =q₁x² + 2x² log x / (c) y =q₁x² + - + 2x² log x (d) y = c₂x² + 2x² log x ²
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