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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

`y = (c)/(x^(3))e^(-(1)/(x))`

B

`y = -(c)/(x^(3))e^((1)/(x))`

C

`cx^(3)e^(-(1)/(x))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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