For x in R, x != 0 if y(x) is a differen...

For `x in R, x != 0` if `y(x)` is a differentiable function such that `x int_(1)^(x)y(t)dt = (x+1) int_(1)^(x)ty(t)dt`, then `y(x)` equals (where C is a constant)

A

`Cx^3 e^(1//x)`

B

`C/(x^2)e^(-1//x)`

C

`C/xe^(-1//x)`

D

`C/x^3e^(-1//x`

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The correct Answer is:

D

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