Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Differential Equations Partial Differential Equations
\(\frac{{{\partial ^2}z}}{{\partial x\;\partial y}} = \sin x\sin y\) को हल करें जिसके लिए q = -2 sin y जब x = 0 और z = 0 है, जब y, π/2 का एक विषम गुणज है।
1
z = (1 + cos y) cos x
2
z = (1 + cos x) cos y
3
z = (1 - cos x) cos y
4
z = (1 - cos y) cos x