Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Partial Differential Equations Laplace Equation, Heat and Wave Equations
The following partial differential equation
\(x \frac{\partial^2 u}{\partial x^2}-2 x^2 y \frac{\partial^2 u}{\partial x \partial y}\) - \(5 y \frac{\partial^2 u}{\partial y^2}+2x\frac{\partial u}{\partial x}-5y\frac{\partial u}{\partial y}=0\)
is
1
elliptic in {(x, y) ∈ ℝ2 : y > 0}
2
parabolic in {(x, y) ∈ ℝ2 : x > 0, y > 0}
3
hyperbolic in {(x, y) ∈ ℝ2 : xy ≠ 0 & x and y both have same sign}
4
parabolic in {(x, y) ∈ ℝ2 : xy ≠ 0}
5
Question Not Attempted