The degree and order of the differential equation of the family of all parabolas whose axis is X-axis, are…

The degree and order of the differential equation of the family of all parabolas whose axis is X-axis, are respectively.
  1. 2,3
  2. 2,1
  3. 1,2
  4. 3,2

Solution

$y^2=4 a(x-h), 2 y_1=4 a \Rightarrow y_1=2 a \Rightarrow y_1{ }^2+y_1=0$ Degree $=1$, order $=2$

Asked in: JEE Main 2003

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