This textbook is intended for college, undergraduate and graduate
students, emphasizing mainly on ordinary differential equations.
However, the theory of characteristics for first order partial
differential equations and the classification of second order
linear partial differential operators are also included. It
contains the basic material starting from elementary solution
methods for ordinary differential equations to advanced methods for
first order partial differential equations.In addition to the
theoretical background, solution methods are strongly emphasized.
Each section is completed with problems and exercises, and the
solutions are also provided. There are special sections devoted to
more applied tools such as implicit equations, Laplace transform,
Fourier method, etc. As a novelty, a method for finding exponential
polynomial solutions is presented which is based on the author's
work in spectral synthesis. The presentation is self-contained,
provided the reader has general undergraduate knowledge.
General
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