Consider applying the method of separation of variables with u(x, t) = X(a)T' (t) to the partial differential equation 8²u Jau du +U= 82:² 8t² Ot Select the option that gives the resulting pair of ordinary differential equations (where is a non-zero separation constant). Select one: ⒸX" (2) - X¹ (2) = AX (2), F(t) + 1 = T (t) X" (x) - X'(x)=14, Ï(t) + 1 = μ X" (a)+1, (t) - T (t) = μ X" (x) + X(x) = μX(x), F(t)-(t) = µT(t)

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