Lecture 17
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说明: This is an introduction to ordinary differential equations. We describe the
main ideas to solve certain differential equations, like first order scalar equations, second
order linear equations, and systems of linear equations. We use power series methods
to solve variable coefficients second order linear equations. We introduce Laplace transform methods to find solutions to constant coefficients equations with generalized source
functions. We provide a brief introduction to boundary value problems, eigenvalueeigenfunction problems, and Fourier series expansions. We end these notes solving our
first partial differential equation, the heat equation. We use the method of separation
of variables, where solutions to the partial differential equation are obtained by solving
infinitely many ordinary differential equations.
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Lecture 17.pdf (435142, 2018-10-13)
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