Mathematics, 07.11.2020 23:40 ItzAquaZ8716

Use separation of variables to find, if possible, product solutions for the given partial differential equation. (Use the separation constant −λ ≠ 0. If not possible, enter IMPOSSIBLE.) k∂^2u/∂x^2 - u = ∂u/∂t, k>0

λ − 1/k = 0, u(x, t)=
λ − 1/k=-

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Use separation of variables to find, if possible, product solutions for the given partial differenti...