Choose the correct answer . Which of the following differential equation has y = x as one of its particular solution ?

Options

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

Answer

C