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    The 1D heat equation

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    It is given that that a Fourier Cosine series of teh function f(x) is given by (see file)
    A PDE is given by:

    u_t = u_xx 0<x>Pi t>0

    With boundary conditions:

    u_x(0,t) = u_x(pi, t)=0

    1. Determine all the solutions of the PDE that satisfy these boundary conditions.
    2. find teh solution that satisfies in addition the initial condition u(x,0) = f(x)

    © BrainMass Inc. brainmass.com October 9, 2019, 11:04 pm ad1c9bdddf
    https://brainmass.com/math/algebra/heat-equation-243279

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    Included is an 8 pages file that contains a full derivation general solution to the 1D heat equation and then shows how to apply it to the specific problem.

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