Home
Class 12
MATHS
Form the differential equation of the fa...

Form the differential equation of the family of curve `y^(2)=a(b^(2)-x^(2))`.

Text Solution

Verified by Experts

The correct Answer is:
`xy y" + x(y')^(2) - y y' = 0`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Form the differential equation of family of curces y= ae^(2x) +be^(-2x) by eliminating the arbitary constants a & b.

Form the differential equation representing the family of curves y= asin(x+b) where a,b are arbitrary constant.

Form the differential equation of the family of curves x/a+y/b=1 by eliminating the constants 'a' and 'b'

Form the differential equation representing family of curve (x)/(a)+(y)/(b) =1 where a and b are arbitrary constants .

Form the differential equation representing the family of curves y = a sin ( x + b) , where a, b are arbitrary constants.

Form the differential equation of the family of circles having centre on y-axis and radius 3 units.