Home
Class 12
MATHS
The differential equation of the family ...

The differential equation of the family of parabolas with focus at the origin
and the X-axis as axis, is

A

(a) `y("dy"/"dx")^2+4x(dy)/(dx)=4y`

B

(b) `-y("dy"/"dx")^2 =2x"dy"/"dx"-y`

C

(c) `y("dy"/"dx")^2+y=2xy"dy"/"dx"`

D

(d) `y("dy"/"dx")^2 + 2xy "dy"/"dx"+y=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If m and n are respectively the order and degree of the differential equation of the family of parabolas with focus at the origin and X-axis as its axis , then mn-m + n=

The differential equation of the family of curves y=a cos (x + b) is

The differential equation of the family of circles passing through the origin and having centres on the x-axis is

The order and degree of differential equation of the family of parabolas whose axis is the X-axis is: a)2,1 b)1,2 c) 1,1 d)2,2

Form the differential equation of the family of circles touching the y-axis at origin.

Find the differential equation of all parabolas whose axis is the X axis.

The degree and order of the differential equation of the family of all parabolas whose axis is x-axs are respectively

Form the differential equation of all parabolas whose axis is the Y-axis.

Find the differential equations of the following(1)All parabolas whose axis is the x-axis.