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Solution of the differential (x+2y^(3))=...

Solution of the differential `(x+2y^(3))=(dx)/(dy)y` is

A

`x = y^(2)(c + y^(2))`

B

`x = y (c - y^(2))`

C

`x = 2y(c - y^(2))`

D

`x = y(c + y^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
`x dy + 2y^(3) dy = y dx`
`rArr" "2y dy = (y dx - x dy)/(y^(2)) rArr 2 ydy = d((x)/(y))`
`rArr" "x = y (c + y^(2))`.
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