14) (10.5) Use separation of variables to find product solutions of the partial differential equation, 𐐀u Ju == +

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answerhappygod
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14) (10.5) Use separation of variables to find product solutions of the partial differential equation, 𐐀u Ju == +

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Here is the solution, need help getting there, the more
explanation the better, Thanks!!
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14) (10.5) Use separation of variables to find product solutions of the partial differential equation, 𐐀u Ju == + u. əx ду
14) For = -λ X' Y'+Y X Y X(x) = c₁e-2x, Y(y) = c₂e-(2+1)y u(x, y) = c₂e-((x+y)+y)
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