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 by y^2=(x-c)^3 .

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

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

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

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

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

Form 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, x=A\ cos n t+Bsinn t , where A and B are arbitrary constants.