Which of the following most nearly gives the differential equation for all parabolas with vertex on the line y = 2x and with axis parallel to the y-axis? a) 2(x – 2y)y" + (y')² – 4y' = 0 d) 2(2x – y)y" + (y')² – 4y' = 0 %3D b) 2(x – 2y)y" +3(y')² – 4y' = 0 e) 2(2x – y)y" – 3(y')² + 4y' = 0 c) 2(x – 2y)y" – 3(y')? + 4y' = 0 f) None of the choices

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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Which of the following most nearly gives the differential equation for all parabolas with vertex on the line
y = 2x and with axis parallel to the y-axis?
a) 2(x – 2y)y" + (y')² – 4y' = 0
d) 2(2x – y)y" + (y')² – 4y' = 0
%3D
b) 2(x – 2y)y" +3(y')² – 4y' = 0
c) 2(x – 2y)y" – 3(y')² + 4y' = 0
e) 2(2x – y)y" – 3(y')² + 4y' = 0
f)
None of the choices
Transcribed Image Text:Which of the following most nearly gives the differential equation for all parabolas with vertex on the line y = 2x and with axis parallel to the y-axis? a) 2(x – 2y)y" + (y')² – 4y' = 0 d) 2(2x – y)y" + (y')² – 4y' = 0 %3D b) 2(x – 2y)y" +3(y')² – 4y' = 0 c) 2(x – 2y)y" – 3(y')² + 4y' = 0 e) 2(2x – y)y" – 3(y')² + 4y' = 0 f) None of the choices
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