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    Solving a second order differential equation using Fourier s

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    Consider the ODE

    y" - a^2 * y = H(x-Pi/2)

    y(0)=y(Pi)=0
    0<x<Pi

    Where H is the step function.

    solve for y using Fourier series
    The Fourier series for the step function exhibits the Gibss phenomenon. Will the solution y(x) exhibit it too? explain why or why not.

    © BrainMass Inc. brainmass.com May 20, 2020, 5:39 pm ad1c9bdddf
    https://brainmass.com/math/fourier-analysis/fourier-series-gibbs-phenomenon-235759

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