Differential Equations and Transformations

 This course covers the following topics:

First order differential equations, separable variable equations, homogeneous, exact and linear equations, Second order differential equations, general theory, homogeneous equations with constant coefficients, nonhomogeneous equations, method of variation of parameters, method of undetermined coefficients, higher order equations, linear systems of differential equations with constant coefficients (matrix methods), Laplace transforms, convolutions theorem, applications to initial value problems, Series solutions of differential equations, introduction to partial differential equations, and Fourier series.
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