" (ii) "xy=Ae^(x)+Be^(-x)+x^(2)

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)

Eliminate A and B, y = Ae^(x) + Be^(-x) + x^(2)

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

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

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