Let h : R → R be some twice-differentiable function. Define f(x,y) = h(x) for all x ≠ 0. Show that 02 f дудх хадга + 2xy ?x2 202f +y2 = 0. дуг

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let h : R → R be some twice-differentiable function. Define f(x,y) = h(2) for all x ≠ 0. Show that
02 f
дудх
x2
82 f
+ 2xy
0x2
+y2
02 f
ду2
= = 0.
Transcribed Image Text:Let h : R → R be some twice-differentiable function. Define f(x,y) = h(2) for all x ≠ 0. Show that 02 f дудх x2 82 f + 2xy 0x2 +y2 02 f ду2 = = 0.
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