Question

The type of partial differenntial equation $\frac{{\partial }^{2}P}{\partial x^2}+\frac{{\partial }^{2}P}{\partial y^2}+3\frac{{\partial }^{2}P}{\partial x\partial y}+2\frac{\partial P}{\partial x}-\frac{\partial P}{\partial y}=0$ is

• A. Elliptic
• B. Parabolic
• C. Hyperbolic
• D. None of these

Answer 1

The correct option is C Hyperbolic

$A\frac{{\partial }^{2}P}{\partial x^2}+B\frac{{\partial }^{2}P}{\partial x\partial y}+C\frac{{\partial }^{2}P}{\partial y^2}+D\frac{\partial P}{\partial x}+E\frac{\partial P}{\partial y}=0$
$A=1,B=3,C=1$
$B^2-4AC>0$
So hyperbola.