A Complete First Course in Differential Equations


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This course will teach everything that is usually taught in the first two semesters of a university/college course in differential equations. The topics we will consider in this course areFirst Order Differential EquationsLinear Equations of Higher OrderLaplace Transform MethodsLinear Systems of Differential Equations Power Series MethodsPartial Differential EquationsFourier SeriesSturm Liouville Eigenvalue ProblemsNonlinear Systems of Differential EquationsNumerical Methods