Let L(y) = x²y" – x(x+2)y' + (x+2)y %3D (a) consider the homogenous differential equation L(y) = 0 (1) show that y = x on (0, ∞), is a solution of (#). (2) Solve (#). (b) Solve: L(y)=x*e*

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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Let L(y) 3 x?y" — x(x+2)у' + (х+2)у
(a)
consider the homogenous differential equation L(y) = 0
(1) show that y =x on (0, ), is a solution of (#).
(2) Solve (#).
(b) Solve: L(y)= xte*
%3D
Transcribed Image Text:Let L(y) 3 x?y" — x(x+2)у' + (х+2)у (a) consider the homogenous differential equation L(y) = 0 (1) show that y =x on (0, ), is a solution of (#). (2) Solve (#). (b) Solve: L(y)= xte* %3D
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