If f (x) and g (x) are two solutions of ...

If f (x) and g (x) are two solutions of the differential equation `(a(d^2y)/(dx^2)+x^2(dy)/(dx)+y=e^x, then `f(x)-g(x)` is the solution of

A

`a^2 (d^2y)/(dx ^2)+x^2 (dy)/(dx) + y = e ^X`

B

` a^2 (d^2 y)/(dx^2)+ y=0`

C

`a (d^2 y)/(dx^2) + x^2 (dy )/(dx) + y=0`

D

`a(d^2 y)/(dx^2) + y=0`

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The correct Answer is:

C

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