The general solution of \(\frac{{dx}}{{{y^2}}} = \frac{{dy}}{{{x^2}}} = \frac{{dz}}{{{x^2}{y^2}{z^2}}}\) will be:

x2 + 2y2 = C1, x3 - 3z = C2, where C1 and C2 are arbitrary constants.

x + 3y = C1Y2 + z3 = C2, where C1 and C2 are arbitrary constants.

x3 + y2 = C1, x2 + 3z2 = C2, where C1 and C2 are arbitrary constants.

x3 - y3 = C1, x3 + 3z-1 = C2, where C1 and C2 are arbitrary constants.

The general solution of \(\frac{{dx}}{{{y^2}}} = \frac{{dy}}{{{x^2}}}

1.	The general solution of \(\frac{{dx}}{{{y^2}}} = \frac{{dy}}{{{x^2}}} = \frac{{dz}}{{{x^2}{y^2}{z^2}}}\) will be:
A.	x + 3y = C1Y2 + z3 = C2, where C1 and C2 are arbitrary constants.
B.	x3 + y2 = C1, x2 + 3z2 = C2, where C1 and C2 are arbitrary constants.
C.	x3 - y3 = C1, x3 + 3z-1 = C2, where C1 and C2 are arbitrary constants.
D.	x2 + 2y2 = C1, x3 - 3z = C2, where C1 and C2 are arbitrary constants.
Answer» D. x2 + 2y2 = C1, x3 - 3z = C2, where C1 and C2 are arbitrary constants.