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

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

x + 3y = C 1 Y 2 + z 3 = C 2 , where C 1 and C 2 are arbitrary constants.

x 3 + y 2 = C 1 , x 2 + 3z 2 = C 2 , where C 1 and C 2 are arbitrary constants.

x 3 - y 3 = C 1 , x 3 + 3z -1 = C 2 , where C 1 and C 2 are arbitrary constants.

x 2 + 2y 2 = C 1 , x 3 - 3z = C 2 , where C 1 and C 2 are arbitrary constants.

AAI ATC Junior Executive 2018 Shift 1 Paper

Question : 91 of 120

Marks: +1, -0

The general solution of

\;{dx}/{y^{2}} = \;{dy}/{x^{2}} = \;{dz}/{x^{2}y^{2}z^{2}}

will be:

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