" (vii) "xy=Ae^(x)+Be^(-x)

Form the differential equations by eliminating the arbitrary constants from the following equations : 1. (1) xy = Ae^(x) + Be^(-x) + x^(2) (2) y= e^(-x) (A cos 2x + B sin 2x)

Find the differential equation, if xy=Ae^(x)+Be^(-x)+x^(2)

Show that each of the following expressions is a soluton of the corresponding given differential equation (i) y=2x^(2),xy'=2y (ii) y=ae^(x)+be^(-x), y''-y=0

The differential equation whose solution represents the family xy= Ae^(ax)+ Be^(-ax) is

y = ae^(3x) + be^(-2x)

y = ae^(3x) + be^(-2x)

y = ae^(3x) + be^(-2x)