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| Laplace's Equation is an example of this class of PDEs |
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| An integral operator that is based on the complex form of the Fourier Series |
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| A general soln to the 1-D wave eqn obtained by translating the ICs by ± ct |
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| A SL equation whose solutions are orthogonal with a weighting factor of r |
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| A particular singular SL equation that has closed form solutions x+n and x-n |
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| Refers to the complete set of eigenvalues for an infinite domain BVP |
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| Always appears in a convolution integral involving an BVP IC |
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| Refers to linearly amplifying solns to the wave eqn for certain source freqs. |
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| The limiting form of the Influence Function as "t" approaches zero. |
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| A series solution technique that can handle NH BC and source terms |
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| A line on an x-t plane along which a PDE may be represented as an ODE. |
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| A simple function designed to satisfy the NH BCs of a BVP |
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| Solves U(ω)=F(ω)*G(ω) via the inverse transforms f (x) & g(x), if known |
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| Refers to the complete set of eigenvalues for a finite domain BVP |
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| A function whose Fourier Transform results in the same functional form |
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| Any PDE of this class is readily solved via the method of characteristics |
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| The linear heat equation is an example of this class of PDEs |
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