In each of the following problems, use the method of reduction of order to find a sec- ond solution of the given differential equation. - (a). t²y" — 4ty' +6y= 0, t>0; y1(t) = t² (b). t²y" + 2ty' – 2y = 0, t>0; t>0; y₁(t) = t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In each of the following problems, use the method of reduction of order to find a sec-
ond solution of the given differential equation.
-
(a). t²y" — 4ty' +6y= 0,
t>0;
y1(t) = t²
(b). t²y" + 2ty' – 2y = 0,
t>0;
t>0;
y₁(t) = t
Transcribed Image Text:In each of the following problems, use the method of reduction of order to find a sec- ond solution of the given differential equation. - (a). t²y" — 4ty' +6y= 0, t>0; y1(t) = t² (b). t²y" + 2ty' – 2y = 0, t>0; t>0; y₁(t) = t
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