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.

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

Form a differential equation for the family of curves represented by ax^(2)+by^(2)=1, 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 :

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

Find the differential equation of the family of curves y=Ae^x+Be^-x , 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 the equation x^(2)y=a is

Find the differential equartion of the family of curves y=Ae^(x)+Be^(-x), where A and B are arbitrary constants.

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