General solution of the equation (x3 + 3xy2)dx + (3x2y + y3)dy = 0 is (c is a constant)

\(\frac{1}{5}\left( {8{x^4} + 6{x^3}y + {y^3}} \right) = c\)

\(\frac{1}{4}\left( {{x^4} + 6{x^2}{y^2} + {y^4}} \right) = c\)

\(\frac{1}{{12}}\left( {{x^3} + 6x{y^2} + {y^4}} \right) = c\)

General solution of the equation (x3 + 3xy2)dx + (3x2y + y3)dy = 0 is

1.	General solution of the equation (x3 + 3xy2)dx + (3x2y + y3)dy = 0 is (c is a constant)
A.	\(\frac{1}{4}\left( {{x^4} + 6{x^2}{y^2} + {y^4}} \right) = c\)
B.	\(\frac{1}{5}\left( {8{x^4} + 6{x^3}y + {y^3}} \right) = c\)
C.	\(\frac{1}{{12}}\left( {{x^3} + 6x{y^2} + {y^4}} \right) = c\)
D.	(x2 + y2) = c
Answer» B. \(\frac{1}{5}\left( {8{x^4} + 6{x^3}y + {y^3}} \right) = c\)

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