EC > GATE 2022 > Partial Differential Equations
Consider the following partial differential equation (PDE)
a ∂2f(x, y)/∂x2 + b ∂2f(x, y)/∂y2 = f(x, y),
where a and b are distinct positive real numbers. Select the combination(s) of values of the real parameters ξ and η such that f(x, y) = e(ξx+ηy) is a solution of the given PDE.
a ∂2f(x, y)/∂x2 + b ∂2f(x, y)/∂y2 = f(x, y),
where a and b are distinct positive real numbers. Select the combination(s) of values of the real parameters ξ and η such that f(x, y) = e(ξx+ηy) is a solution of the given PDE.
Correct : b
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