Which of the following differential equations has `y=x` as one of its particular solutions ?

Options

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