Course Description: This course covers useful methods for solving first-order, first-degree differential equations and higher-order, first- degree linear differential equations that have relevant and important applications to the sciences and engineering. It also includes methods of solving higher- order differential equations: the methods of undetermined coefficients, variation of parameters, and inverse operators. Other topics include the following: solutions to non-linear equations, systems of linear differential equations, the construction of differential equations as mathematical models, and discussions on Laplace transforms and Fourier series.
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