Differential equation of the family of curves `v=A/r+B ,` where `A` and `B` are arbitrary constants, is

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,x=A cos nt+B sin nt, 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.

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.

From the differential equation of the family of curves y=asin(x+b) , where a and b are arbitrary constants.

Find the differential equation of the family of curves y=e^x(Acosx +Bsinx) where A,B are arbitrary constants. Also write its order and degree.