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

Options

A. `x (d^(2)y)/(dx^(2)) + 2 (dy)/(dx) +x^2 - xy = 2`
B. `x (d^(2)y)/(dx^(2)) + 2 (dy)/(dx)+x^2 + xy = 2`
C. `x (d^(2)y)/(dx^(2)) -2 (dy)/(dx)+x^2 - xy = 2`
D. `x(d^(2) y)/(dx^(2)) - 2 (dy)/(dx)+x^2 + xy = 2`

Answer

A