A complete solution of partial differential equation\(x\;\frac{{\partial z}}{{\partial x}} + y\frac{{\partial z}}{{\partial y}} - z = \frac{{\partial z}}{{\partial x}}\frac{{\partial z}}{{\partial y}}\) will be:

z = x2 + y2 - 2ab, where ab b are arbitrary constants.

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

z = ax2 + by2 + abxy, where a, b are arbitrary constants.

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

A complete solution of partial differential equation\(x\;\frac{{\parti

1.	A complete solution of partial differential equation\(x\;\frac{{\partial z}}{{\partial x}} + y\frac{{\partial z}}{{\partial y}} - z = \frac{{\partial z}}{{\partial x}}\frac{{\partial z}}{{\partial y}}\) will be:
A.	z = ax + by - ab, where a, b are arbitrary constants.
B.	z = x2 + y2 - 2ab, where ab b are arbitrary constants.
C.	z = ax2 + by2 + abxy, where a, b are arbitrary constants.
D.	z = ax - by + ab, where a, b are arbitrary constants.
Answer» B. z = x2 + y2 - 2ab, where ab b are arbitrary constants.

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