Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Differential Equations Partial Differential Equations
The solution of the partial differential equation \(\frac{{{\partial ^2}z}}{{\partial {y^2}}} + z = 0\) is when \(y = 0,z = {e^x}\;and\frac{{\partial z}}{{\partial y}} = {e^{ - x}}\)
1
z = e-x sin y + ex cos y
2
z = e-x sin 2y + ex cos 2y
3
z = ex sin y + e-x cos y
4
z = ex sin 2y + e-x cos 2y