Form a differential equation for the family of curves represented by `ax^2 + by^2 = 1`, 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.

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

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

From the differential equation for the family of the curves y^(2)=a(b^(2)-x^(2)), where a and b are arbitrary constants.

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 :

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

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

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

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