Abstract
This chapter takes up a major theme of this text: differential equations and their applications in science and engineering. Differential equations were discovered by Isaac Newton some time before 1666. Newton was so convinced of the importance of his discovery that he revealed it only in an anagram, one of the scientific puzzles that scholars of his time set for one another. The anagram, when resolved into Latin and then translated into modern English, states, “It is useful to solve differential equations.” The soundness of Newton’s judgment is confirmed by the many textbooks and journals of modern science and engineering that are filled with examples of differential equations and their solutions.
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© 1998 Springer Science+Business Media New York
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Gustafson, G.B., Wilcox, C.H. (1998). Ordinary Differential Equations of First Order. In: Analytical and Computational Methods of Advanced Engineering Mathematics. Texts in Applied Mathematics, vol 28. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0633-0_2
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DOI: https://doi.org/10.1007/978-1-4612-0633-0_2
Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4612-0633-0
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