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Perform the change of variables indicated in the problem to obtain the general solution to the following x²y"+2xy'+a?x²y=0, y=x-1/2v(x) O y=x-1[c,/v2 ¿(ax) +c _12(ax)] ax ax y=x' +c,Y O y=x-1[c/2[ax) +c,Y_v2(ax)] y=x

Perform the change of variables indicated in the problem to obtain the general solution to the following x²y"+2xy'+a?x²y=0, y=x-1/2v(x) O y=x-1[c,/v2 ¿(ax) +c _12(ax)] ax ax y=x' +c,Y O y=x-1[c/2[ax) +c,Y_v2(ax)] y=x

Advanced Engineering Mathematics
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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Perform the change of variables indicated in the problem to obtain the general solution to the following x?y"+2xy'+a?x?y=0, y=x-1/2v(x) O y=x-12[c/v2(ax) +c_2[ax)] ax y=x° +c,Y 2 y=x' 1/2 -1/2 y=x -a
Transcribed Image Text:Perform the change of variables indicated in the problem to obtain the general solution to the following x?y"+2xy'+a?x?y=0, y=x-1/2v(x) O y=x-12[c/v2(ax) +c_2[ax)] ax y=x° +c,Y 2 y=x' 1/2 -1/2 y=x -a
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