Find the differential equation of the family of curves `y=Acosx+Bsinx`, where A, B are parameters.

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.

Find the differential equation of the family of curves y=asin(bx+c) , where a,b,c are parameters.

From the differential equation of the family of curves, y=a sin(bx+c), where a and c are parameters.

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

Find the order of the differential equation of the family of curves. y=asinx+bcos(x+c) , where a,b,c are parameters.

Find the differential equation of the family of curves,x=A cos nt+B sin nt, where A and B are arbitrary constants.

The differential equation of the family of curves y=a cos (x + b) is

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