Form the differential equation of the family of curves `"y"="A e"^("B x")` where A and B are constants.

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

Form the differential equation of the family of curves y=Ae^(Bx) where A and B are constants.

Form the differential equation of the family of curves y=A cos2x+B sin2x, where A and B are constants.

Form the differential equation of the family of curves : y= A e^(2x)+ B e^(-3x)

Find the differential equation of the family of curves y= Ax+(B)/(x) , where A and B are arbitary constants.

Find the differential equation of the family of curves y=Ae^x+Be^-x , 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.

Form the differential equation for the family of curves y^2= 4a (x+b) where a and b arbitrary constants.

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