- H8: Solve the Partial Differential Equations by using separation of variables method: ut - c?uxx = 0 0 < x 0,

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H8 Solve The Partial Differential Equations By Using Separation Of Variables Method Ut C Uxx 0 0 X L T 0 1 (35.7 KiB) Viewed 16 times

- H8: Solve the Partial Differential Equations by using separation of variables method: ut - c?uxx = 0 0 < x <L, t > 0, (1) Ux(0, 1) = ux(L, 1) = 0 t>0, (2) u(x,0) = f(x) 0<x<L, (3) Up(x,0) = g(x) 0<x<L, (4) where f & gare given functions and cis a positive constant. The compatibility conditions are given by: f'O) = f'(L) = 8'0) = g'(L) = 0.