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Find the Equilibrium temperature distribution of a PDE
Homework Statement 1) What is the Equilibrium temperature distributions if α > 0? 2) Assume α > 0, k=1, and L=1, solve the PDE with initial condition u(x,0) = x(1-x) Homework Equations du/dt = k(d^2u/dx^2) - (α*u) The Attempt at a Solution I got u(x) = [(α*u*x)/2k]*[x-L] for...- Engineer913
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- Distribution Equilibrium Equilibrium temperature Pde Temperature
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- Forum: Calculus and Beyond Homework Help