Abstract
Differential equations (It is assumed that a course in differential equations precedes the course in which this text is used. This chapter is meant to be a quick review of the parts of significance to the science student.) play a vital role in the solutions to many problems encountered when modeling physical phenomena. All the disciplines in the physical sciences, with their own unique interests representing a variety of physical situations, require that the student be able to derive the necessary mathematical equation (often a differential equation) and then solve the equation to obtain the desired solution. We shall consider a variety of physical situations that lead to differential equations, using representative problems from several disciplines, and standard methods used to solve the equations will be developed.
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Potter, M.C., Feeny, B.F. (2023). Ordinary Differential Equations. In: Mathematical Methods for Engineering and Science. Springer, Cham. https://doi.org/10.1007/978-3-031-26151-0_1
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DOI: https://doi.org/10.1007/978-3-031-26151-0_1
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