Second Order Linear Partial Differential Equations Part I
equations, together with a set of two boundary conditions that go with the equation of the spatial variable x: X ″ + λX = 0, X(0) = 0 and X(L) = 0, T ′ + α 2 λ T = 0. The general solution (that satisfies the boundary conditions) shall be solved from this system of simultaneous differential equations. Then the initial condition u(x, 0) = f
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