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

Options

A. `x(d^(2)y)/(dx^(2)) + 2 (dy)/(dx) - xy = 0`
B. `(d^(2) y)/(dx^(2)) + 2y (dy)/(dx) - xy = 0`
C. `x (d^(2)y)/(dx^(2)) + 2 (dy)/(dx) -y = 0`
D. `(d^(2) y)/(dx^(2)) + (dy)/(dx) - xy = 0`

Answer

A