Question

The type of partial differential equation,
$\frac{{\partial }^{2}P}{\partial x^2}+\frac{1}{2}\frac{{\partial }^{2}P}{\partial x\partial y}-\frac{5\partial P}{\partial x}+\frac{2\partial P}{\partial y}=0$ is

• A. ellipltical
• B. parabolic
• C. hyperbolic
• D. none

Answer 1

The correct option is C hyperbolic

Comparing the given equation with general from of second order partial differential equation.

A = 1
$B=\frac{1}{2}$
C =0

$\Rightarrow B^2-4AC=\frac{1}{4}>0$

$\therefore$ PDE is hyperbolic.