Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Differential Equations Partial Differential Equations
General solution of partial differential equation
\(y^2 \frac{\delta z}{\delta x} - xy\frac{\delta z}{\delta y} = x (z - 2y)\) will be _______, where ϕ is an arbitrary function.
1
ϕ (x3 - x2y, x + y + z) = 0
2
ϕ (x2 + y2, y2 - yz) = 0
3
ϕ (x2 + xy, y + z) = 0
4
ϕ (x2 - y3, y - z) = 0