" The D.E of "xy=ae^(x)+be^(-x)+x^(2)" is "

The differential equation by eliminating the arbitrary constant from the equation xy=ae^(x)+be^(-x)+x^(2) is xy_(2)+ky_(1)-xy=k then k=

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

The differential equation obtained by eliminating the constants a and b from xy=ae^(x)+be^(-x)+x^(2) is

Form the differential equation by eliminating the arbitrary constant from the equation xy = ae^(x) + be^(-x) + x^(2)

Prove that xy=ae^(x)+be^(-x)+x^(2) is the general solution of the differential equation x(d^(2)y)/(dx^(2))+2(dy)/(dx)-xy+x^(2)-2=0.

Prove that xy= ae^(x)+be^(-x)+x^(2) is the general solution of the differential equation x(d^(2)y)/(dx^2)+2(dy)/(dx)-xy+x^(2)-2=0

For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation. xy = ae^(x) + be^(-x) + x^(2) : x (d^(2)y)/(dx^(2)) + 2(dy)/(dx) - xy + x^(2) - 2 = 0

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)

The differential equation of the family y = ae^(x) + bx e^(x) + cx^(2) e^(x) of curves, where a, b, x are arbitrary constant is