For x in R, x != 0, if y(x) differential...

For `x in R, x != 0, if y(x)` differential function such that `x int_1^x y(t)dt=(x+1)int_1^x t y(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^(3))e^(-1/x)`

Verified by Experts

The correct Answer is:

D

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