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

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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BITSAT GUIDE-DIFFERENTIAL EQUATIONS-BITSAT ARCHIVES
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  8. The solution of dy/dx=(alphax+g)/(by+f) represents a circle, when

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  9. the equation of the curve satisfying the equation (xy - x^(2)) (dy)/(d...

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  13. The solution of differential equation (dy)/(dx) + (2xy)/(1+x^(2)) = (1...

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  14. Which one of the following differential equation represents the system...

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  17. The solution of x^(2) +y^(2) - 2xy (dy)/(dx) = 0 is

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