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I want to find ∂_x(u)(0,1) i.e. u_x where u(x,t) is the solution of the heat equation ∂_t(u) = ∂_x^2(u) i.e. u_t = u_(xx) with the initial condition u(x,0) = X_[0,∞](x) = 0 when x<=0 and = 1 when...

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