Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Differential Equations Partial Differential Equations
The solution of the partial differential equation \({{x}^{2}}\frac{\partial z}{\partial x}+{{y}^{2}}\frac{\partial z}{\partial y}=\left( x+y \right)z\) is
1
\(f\left( \frac{1}{y}-\frac{1}{x},\frac{xy}{z} \right)=0\)
2
\(f\left( \frac{1}{xy},\frac{xy}{z} \right)=0\)
3
\(f\left( \frac{1}{x}-\frac{1}{y},~xyz \right)=0\)
4
\(f\left( \frac{1}{x}+\frac{1}{y}+\frac{1}{z},\frac{xy}{z} \right)=0\)