[3.] (5pts) Find the equilibrium solution to the heat equation (1) Ko(x)- = 0, t with...

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[3.] (5pts) Find the equilibrium solution to the heat equation (1) Ko(x)- = 0, t with boundary conditions u(0,t) = 0, u(L,t) = T, if Ko(x) = e2x. [4.] (5pts) The following is a variant of a heat equation called drift-diffusion equation Find all non-trivial solutions in the form u(x,t) = G(t)(x) using the method of separation of variable. +2k k- with the boundary conditions Ju = 0. u(0,t) =0, u(L,t) = 0. [3.] (5pts) Find the equilibrium solution to the heat equation (1) Ko(x)- = 0, t with boundary conditions u(0,t) = 0, u(L,t) = T, if Ko(x) = e2x. [4.] (5pts) The following is a variant of a heat equation called drift-diffusion equation Find all non-trivial solutions in the form u(x,t) = G(t)(x) using the method of separation of variable. +2k k- with the boundary conditions Ju = 0. u(0,t) =0, u(L,t) = 0.