The degree and order of the differential equation of the family of all parabolas whose axis is the x-axis are respectively:
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Official solution
General equation of parabola whose axis is along X-axis
\[{y^2} = 4a\left( {x - h} \right)\]
Differentiating with respect to x, we get
2yy1=4a
\[ \Rightarrow y{y_1} = 2a\]
Again differentiating with respect to x, we get
\[ \Rightarrow {y_1}^2 + y{y_2} = 0\]
Degree =1, order =2.