44 If 2x=y¹5+y-1/5, then express y as an explicit dy = 25 y. +x. dx function of x and prove that (x² - 1) d²y - dx²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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44 If 2x=y¹/5 + y then express y as an explicit
-1/5
d²y
dx²
function of x and prove that (x² - 1)
+ X.
dy
= 25 y.
dx
Transcribed Image Text:44 If 2x=y¹/5 + y then express y as an explicit -1/5 d²y dx² function of x and prove that (x² - 1) + X. dy = 25 y. dx
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