Abstract
Ordinary differential equations—both first and second order differential equations—are studied with emphasis on linear differential equations. A number of distinct cases of the first order differential equations are studied. Second order linear differential equations, both the homogeneous and inhomogeneous cases, are studied is some detail. Applications to economics are considered; in particular, a general solution is provided of the Swan-Solo equation.
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© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
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Baaquie, B.E. (2020). Ordinary Differential Equations. In: Mathematical Methods and Quantum Mathematics for Economics and Finance. Springer, Singapore. https://doi.org/10.1007/978-981-15-6611-0_7
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DOI: https://doi.org/10.1007/978-981-15-6611-0_7
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-6610-3
Online ISBN: 978-981-15-6611-0
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