Verfy that each of the functions - (2n-1) ² 17² Z pin (2n-1) TTX Un (nit) = e satisfies the heat equation . y₂ = Uxx ų 02X21, t>o and boundary conditions Uloit) = U₂ (1₁t) =0 show that linear Combination n = 1₁ 2₁... any N U(xit) = = U₂ (xit) nel satisfies the same differentical equation and boundary conditions

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