1 x²y"-xy'-3y=-, x>0. 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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Answer the given question with a proper explanation and step-by-step solution. Please provide the answer using the math tool otherwise I give the downvote.

 

please solve using Cauchy-Euler DE and please show work thank you

Possible choices for correct answer:
a.
b.
C.
d.
x²y"—xy'—3y=='
y(x) = C₁ = + C₂x³²
1
x(x) = (C₁ _ Im(x) ) ! + C_x²
4
X
1
v(x) = (c₁_n(x)) + + + C₂
4 x
None of the above
1
-3y=—, x>0.
Transcribed Image Text:Possible choices for correct answer: a. b. C. d. x²y"—xy'—3y==' y(x) = C₁ = + C₂x³² 1 x(x) = (C₁ _ Im(x) ) ! + C_x² 4 X 1 v(x) = (c₁_n(x)) + + + C₂ 4 x None of the above 1 -3y=—, x>0.
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