Find the differential equation of `xy = ae^x + be^(-x)`.

The differential equation of y=ae^(bx) is

The differential equation for y=ae^(x)+be^(-2x) is

For all values of A and B , find the differential equation of y=Ae^(3x)+Be^(4x) .

The differential equation for y=Ae^(3x)+Be^(-3x) is

The differential equation for y=Ae^(3x)+Be^(2x) is

The differential equation of the curve xy=ae^(x)+be^(-x)+x^(2) is xy_(2)+ay_(1)+bxy+x^(2)-2=0 .then the value

Form the Differential equation for y=ae^(2x-1)+be^(-2x-1)-1

Find the differential equation corresponding to jy=ae^(2x)+be^(-3x)+ce^(x) where a,b,c are arbitrary constants.

Find the differential equation of all lines in the xy- plane.

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