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

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

Tardigrade Admin · Accepted Answer

The general form of the equation of parabola whose symmetry is along x-axis is given by x = ay2 + 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.

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

$3$

$1$

$2$

none of these

The general form of the equation of parabola whose symmetry is along $x$ -axis is given by $x = a y^{2} + b$ , 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 $2$ .

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

3

1

2

none of these

The general form of the equation of parabola whose symmetry is along x-axis is given by x=ay2+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.

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

$3$

$1$

$2$

The general form of the equation of parabola whose symmetry is along $x$ -axis is given by $x = a y^{2} + b$ , 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 $2$ .