The differential equation of the family of curves represented by `y^3= cx+ c^3+ c^2-1`,where c is an arbitrary constant is of :

The differential equation of the family of curves represented by y = a + bx + ce^-x (where a, b, c are arbitrary constants) is

Form the differential equation of the family of curves represented by y = a cos (bx + c) where a, b, c are the arbitrary constants.

From the differential equation of the family of curves represented by y = a cos (bx + c) where a, b, c are the arbitrary constants.

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

Obtain the differential equation of the family of curves represented by y=Ae^x+Be^-x+x^2 , where A and B are arbitrary constants.

Obtain the differential equation of the family of curves represented by y=Ae^x+Be^-x+x^2 , where A and B are arbitrary constants.

Form the differential equation of the family of curves represented c(y+c)^(2)=x^(3) where c is a parameter.

Form a differential equation for the family of curves represented by ax^2 + by^2 = 1 , where a and b are arbitrary constants.

Form the differential equation of the family of curves represented c(y+c)^(2)=x^(3), where is a parameter.

Form a differential equation for the family of curves represented by ax^(2)+by^(2)=1, where a and b are arbitrary constants.