General solution of partial differential equation y^{2}\frac{\delta z}{\delta x}−xy\frac{\delta z}{\delta y} = x(z−2y) will be _______, where ϕ is an arbitrary function.

Correct Answer is : ϕ (x2 + y2, y2 - yz) = 0

ϕ (x 3 - x 2 y, x + y + z) = 0

AAI ATC Junior Executive 2018 Shift 3 Paper

Question : 93 of 120

Marks: +1, -0

General solution of partial differential equation

y^{2}\;{δ z}/{δ x}−xy\;{δ z}/{δ y} = x(z−2y)

will be _______, where ϕ is an arbitrary function.

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