What is the differential equation of the family of parabolas with their vertices and foci on the y – axis ? ху" - у' %3D 0 у" — ху' %3D 0 O A у" + ху' —D 0 ху" + у' %3D0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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What is the differential equation of the family of parabolas with their vertices and
foci on the y – axis ?
xy" – y' = 0
у" — ху' — 0
%3D
O A
y" + xy' = 0
xy" + y' = 0
O D
O B
Transcribed Image Text:What is the differential equation of the family of parabolas with their vertices and foci on the y – axis ? xy" – y' = 0 у" — ху' — 0 %3D O A y" + xy' = 0 xy" + y' = 0 O D O B
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