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=Ae^(2x)+Be^(-2x), where A and B are arbitrary constants.

Find the differential equartion 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 : y= A e^(2x)+ B e^(-3x)

Form the differential equation of the family of curves : y= A e^(x)+B e^(-x)

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

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 family of curves y = ae^(2x) + be^(3x) , where a, 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.