Teaching DSSSB TGT Mock Test 2025 Mathematical Science Partial Differential Equations General Solution of Higher Order PDE
The solution of the partial differential equation \(2\frac{{{\partial ^2}z}}{{\partial {x^2}}} + 5\frac{{{\partial ^2}z}}{{\partial x\;\partial y}} + 3\frac{{{\partial ^2}z}}{{\partial {y^2}}} = 0\) will be
1
z = f(y + 2x) + ϕ(2y – x), where f and ϕ are arbitrary functions
2
z = f(y + x) + ϕ(2y + 3x), where f and ϕ are arbitrary functions
3
z = f(y – x) + ϕ(2y + 3x), where f and ϕ are arbitrary functions
4
z = f(y – x) + ϕ(2y - 3x), where f and ϕ are arbitrary functions