Question

For the following partial differential equation,
$x\frac {∂^2f}{dx^2}+y\frac {∂^2f}{dy^2}=\frac {x^2+y^2}{2}$
which of the following option(s) is/are CORRECT?

• A. elliptic for x > 0 and y > 0
• B. parabolic for x > 0 and y > 0
• C. elliptic for x = O and y > 0
• D. hyperbolic for x < 0 and y > 0

Answer 1

Answer: (A), (D)

elliptic for x > 0 and y > 0

Answer 2

The correct options are (A) and (D).