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

If f(x) and g(x) are two solutions of the differential equations 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)+(dy)/(dx)+y=e^x`

B

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

C

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

D

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

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The correct Answer is:

C

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