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By eliminating the arbitrary constant A and B from `y = Ax^(2)+Bx` we get the differential equation

A

`(d^3y)/(dx^3)=0`

B

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

C

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

D

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

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The correct Answer is:
B
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