|Consider the equation u, = uxx + 10, 0 < x < 1, t > 0, that is, there is uniform heat source. Suppose further that ends are kept as u(0, t) = 0, u(1, t) = -3. What is the steady state solution U(x), if it exists? That is, a solution after a very long time. Hint: a steady-state solution does not depend on time. U(x) = help (formulas)

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