Question:

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

Updated On: Jul 7, 2022

$3$
$1$
$2$
none of these

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The Correct Option is C

Solution and Explanation

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 $2$.

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Concepts Used:

General Solutions to Differential Equations

A relation between involved variables, which satisfy the given differential equation is called its solution. The solution which contains as many arbitrary constants as the order of the differential equation is called the general solution and the solution free from arbitrary constants is called particular solution.