Which of the following differential equations has y = x as one of its particular solution? (A) `(d^2y)/(dx^2)-x^2(dy)/(dx)+x y=x` (B) `(d^2y)/(dx^2)+x(dy)/(dx)+x y=x` (C) `(d^2y)/(dx^2)-x^2(dy)/(dx)+x y=0` (D) `(d^2y)/(dx^2)+x(dy)/(dx)+x y=0

Explanation

Correct option is C)


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`y=x`


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`frac{d y}{d x}=1`


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