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The solution of the differential equatio...

The solution of the differential equation
`(dy)/(dx) + x(2x + y) = x^(3) (2x + y)^(3) - 2` is (C being an arbitrary constant)

A

`1/(2x + xy) = x^(2) + 1 + Ce^(x)`

B

`1/((2x + y)^2) = x^(2) + 1 + Ce^(x^2)`

C

`1/(2x + y) = x^(2) + 1 + Ce^(-x^2)`

D

`1/((2x + y)^2) = x^(2) + 1 + Ce`

Text Solution

Verified by Experts

The correct Answer is:
B
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