Abstract
We discuss explicit ODEs of the form ẋ = R(t, x), where R is a polynomial or rational function, and the solution x(t) has a removable singularity. We are particularly interested in functions built from elementary functions, such as x(t) = t/ sin t. We also consider implicit ODEs of the forms P(t, x,ẋ) = 0 and P(t, x,ẋ x, Ẍ) = 0.
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© 2006 Springer
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Flanders, H. (2006). Solutions of ODEs with Removable Singularities. In: Bücker, M., Corliss, G., Naumann, U., Hovland, P., Norris, B. (eds) Automatic Differentiation: Applications, Theory, and Implementations. Lecture Notes in Computational Science and Engineering, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28438-9_3
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DOI: https://doi.org/10.1007/3-540-28438-9_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28403-1
Online ISBN: 978-3-540-28438-3
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