Question

The differential equation of all parabolas whose axis of symmetry is along axis of $x$-axis is of order

• A. $3$
• B. $1$
• C. $2$
• D. none of these

Answer 1

Answer: (C)

$2$

Answer 2

The general form of the equation of parabola whose symmetry is along $x$-axis is given by $x = ay^2 + b$, which is the solution of the differential equation of all such type of parabola which contains two arbitrary constant so the order of differential equation is $2$.