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differential-equations

The linear differential operator L

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Local knowledge map

Local knowledge map

From boundary conditions to a Sturm-Liouville… Orthogonality of Sturm-Liouville eigenfunctions Orthogonality of eigenfunctions Separation of variables: a first look toward PDEs Singular Sturm-Liouville problems, previewed Solving the heat equation on a finite rod with Robin… The separation-of-variables ansatz The superposition principle Homogeneous vs. nonhomogeneous equations Sturm-Liouville form The regular Sturm-Liouville problem The linear differential operator L $n$th-order linear equations Boundary-value problems, contrasted with IVPs Eigenvalue problems from boundary conditions Eigenvalues and the characteristic equation Linear independence of two functions Ordinary points and the power-series method Second-order linear equations, standard form Linear vs. nonlinear differential equations

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