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If x^(3) dy + xy dx = x^(2) dy + 2y d...

If `x^(3) dy + xy dx = x^(2) dy + 2y dx , y (2) = e ` and ` x gt 1`, then y(4) is equal to .

A

`(1)/(2) + sqrt(e)`

B

`(3)/(2) + sqrt(e)`

C

`(3)/(2) sqrt(e)`

D

`(sqrt(e))/(2)`

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