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First and second order one dimensional wave equation
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for the following partial differential equation x
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?
GATE CE - 2024
GATE CE
Updated On:
Feb 3, 2026
elliptic for x > 0 and y > 0
parabolic for x > 0 and y > 0
elliptic for x = O and y > 0
hyperbolic for x < 0 and y > 0
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The Correct Option is
A,
D
Solution and Explanation
The correct options are (A) and (D).
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