The differential equation of the family ...

The differential equation of the family of curves represented by the equation `x^2y=a.` is

A

`(dy)/(dx)+(2y)/x=0`

B

`(dy)/(dx)+(2x)/y=0`

C

`(dy)/(dx)-(2y)/x=0`

D

`(dy)/(dx)-(2x)/y=0`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

The differential equation of the family of curves represented by the equation x^2+y^2=a^2 , is

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

The differential equation of y=c^2+c/x is

The differential equation y=c^2+c/x is

Find the differential equation of the family of circles having their centres on the line y=10 and touching the X axis.

The differential equation of x^2+y^2=2Ax is

The differential equation of the family of curves v=A/r+B , where A and B are arbitrary constants, is

The differential equation of the family of curves y=e^x(Acosx+Bsinx), where A and B are arbitrary constants is

The equation of one of the lines represented by the equation pq(x^2-y^2)+(p^2-q^2)xy=0 , is

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