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

The differential equation of the family of curves of `x^(2)+y^(2)-2ay=0` where a is arbitary constant, is

A

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

B

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

C

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

D

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

Text Solution

AI Generated Solution

To find the differential equation of the family of curves given by the equation \( x^2 + y^2 - 2ay = 0 \), where \( a \) is an arbitrary constant, we will follow these steps: ### Step 1: Rewrite the Equation We start with the equation: \[ x^2 + y^2 - 2ay = 0 \] Rearranging this gives: ...
Promotional Banner

Similar Questions

Explore conceptually related problems

The differential equation for the family of curve x^2+y^2-2a y=0, where a is an arbitrary constant, is

The differential equation for the family of curve x^2+y^2-2a y=0, where a is an arbitrary constant, is

The differential equation of family of curves x^(2)+y^(2)-2ax=0 , is

The differential equation of family of curves of y^(2)=4a(x+a) is

The differential equation of the family of curves cy ^(2) =2x +c (where c is an arbitrary constant.) is:

Find the differential equation of the family of curves (x+a)^2-2y^2=a^2 , where a is an arbitrary constant.

The differential equation of the family of curves py^(2)=3x-p is (where p is an arbitrary constant) is

The differential eqaution of the family of curve y^(2)=4a(x+a) , is

Form a differential equation of the family of the curves y^(2)=4ax

Find the differential equation of the family of curves y=A e^(2x)+B e^(-2x) , where A and B are arbitrary constants.