Teaching HSSC TGT 2023 Mock Test (Latest Pattern) Engineering Mathematics Differential Equations Partial Differential Equations
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:
1
z = ax + by - ab, where a, b are arbitrary constants.
2
z = x2 + y2 - 2ab, where ab b are arbitrary constants.
3
z = ax2 + by2 + abxy, where a, b are arbitrary constants.
4
z = ax - by + ab, where a, b are arbitrary constants.
5
Not Attempted