Find two linearly independent solutions of 2x^(2)y"-xy'+(-1x+1)y=0,x>0 of the form y1=xr1(1+a1x+a2x2+a3x3+) y2=xr2(1+b1x+b2x2+b3x3+) where r1>r2.
Find two linearly independent solutions of 2x^(2)y"-xy'+(-1x+1)y=0,x>0 of the form y1=xr1(1+a1x+a2x2+a3x3+) y2=xr2(1+b1x+b2x2+b3x3+) where r1>r2.
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:Find two linearly independent solutions of
2x^2)y'-ху'+(-1x+1)у-0,х>0
of the form
y1=xr1(1+a1x+a2x2+a3x3+)
y2=xr2(1+b1x+b2x2+b3x3+)
where r1>r2.
Enter
r1=
al=
a2=
a3=
r2=
b1=
b2=
b3
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