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    2 examples of the method of characteristics for solving PDEs

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    1. Use the method of characteristics to solve the advection equation

    du/dt=-kdu/dx-ru

    subject to the initial condition u(x,0)=f(x).

    2. Use the method of characteristics to solve du/dt+te^(-t^2))du/dx=usin(t) subject to the initial condition u(x,0)=e^(-x^2))

    (See attachment for the above questions formatted with correct mathematical notation).

    © BrainMass Inc. brainmass.com October 9, 2019, 8:57 pm ad1c9bdddf
    https://brainmass.com/math/numerical-analysis/examples-method-characteristics-solving-pdes-168054

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