Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Partial Differential Equations Laplace Equation, Heat and Wave Equations
Consider the second order PDE
auxx + buxy + auyy = 0 in ℝ2
for a, b ∈ ℝ.
Which of the following is true?
1
The PDE is hyperbolic for b ≤ 2a.
2
The PDE is parabolic for b ≤ 2a.
3
The PDE is elliptic for |b| < 2|a|.
4
The PDE is hyperbolic for |b| < 2|a|.
5
Question Not Attempted