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The general solution of the differential...

The general solution of the differential equation `(x^(3)-3xy^(2))dx = (y^(3)-3x^(2)y)dy` is where c is an arbitrary constant

A

`c^(2)(X^(2)+y^(2))=(y^(2)-X^(2))`

B

`c^(2)(X^(2)+y^(2))=(y^(2)-X^(2))`

C

`c^(2)(X^(2)+y^(2))^(2)=(y^(2)-X^(2))`

D

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

Text Solution

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The correct Answer is:
C
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