1.

Form the differential equation by eliminating the arbitrary constant from the equation y = ax^(2) + be^(-x)

Answer»

`x (x + 2) (d^(2)y)/(DX^(2)) + (x^(2) - 2) (dy)/(dx) + 2 (x + 1) y = 0`
`x (x + 2) (d^(2)y)/(dx^(2)) - (x^(2) - 2) (dy)/(dx) - 2 (x + 1) y = 0`
`x (x + 2) (d^(2)y)/(dx^(2)) + (x^(2) - 2) (dy)/(dx) - 2 (x + 1) y = 0`
`x (x -2) (d^(2)y)/(dx^(2)) + (x^(2) - 2) (dy)/(dx) -2 (x -1) y = 0`

Answer :C


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