Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Differential Equations Partial Differential Equations
A complete solution of partial differential equation \(\frac {\partial z}{\partial x} - sin {x} = sin {y} - \frac {\partial z}{\partial y}\) will be ____ where a and b are arbitrary constants.
1
z = a(x + y) - (cos x + cos y) + b
2
z = a(x - y) - (cos x + cos y) + b
3
z = a(x - y) - (cos x - cos y) + b
4
z = a(x + y) - (cos x - cos y) + b