A complete solution of partial differential equation x\:\frac{\partialz}{\partialx} + y\frac{\partialz}{\partialy}−z = \frac{\partialz}{\partialx}\frac{\partialz}{\partialy} will be:

Correct Answer is : z = ax + by - ab, where a, b are arbitrary constants.

z = ax + by - ab, where a, b are arbitrary constants.

z = x 2 + y 2 - 2ab, where ab b are arbitrary constants.

z = ax 2 + by 2 + abxy, where a, b are arbitrary constants.

z = ax - by + ab, where a, b are arbitrary constants.

AAI ATC Junior Executive 2018 Shift 1 Paper

Question : 93 of 120

Marks: +1, -0

A complete solution of partial differential equation

x\:\;{∂z}/{∂x} + y\;{∂z}/{∂y}−z = \;{∂z}/{∂x}\;{∂z}/{∂y}

will be:

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