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Abstract

To introduce the theory of planar autonomous linear differential equations.

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Bibliography

  1. F. Dumortier, J. Llibre, and J.C. Arts, Qualitative Theory of Planar Differential Systems, Springer-Verlag, New York, 2006.

    Google Scholar 

  2. P. Hartman, Ordinary Differential Equations, John Wiley, New York, 1964.

    Google Scholar 

  3. D.W. Jordan and P. Smith, Nonlinear Ordinary Differential Equations 4th ed., Oxford University Press, 2007.

    Google Scholar 

  4. W. Kelley and A. Peterson, The Theory of Differential Equations: Classical and Qualitative, Prentice Hall, 2003.

    Google Scholar 

  5. A.C. King, J. Billingham and S.R. Otto, Differential Equations: Linear, Nonlinear, Ordinary, Partial, Cambridge University Press, 2003.

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  6. J.H. Liu, A First Course in the Qualitative Theory of Differential Equations, Prentice Hall, Upper Saddle River, NJ, 2002.

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  7. J.C. Robinson, An Introduction to Ordinary Differential Equations, Cambridge University Press, 2004.

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  8. D. Schaeffer and J.W. Cain, Ordinary Differential Equations: Basics and Beyond (Texts in Applied Mathematics), Springer, New York, 2016.

    Google Scholar 

  9. B. West, S. Strogatz, J.M. McDill, J. Cantwell, and H. Holn, Interactive Differential Equations, Version 2.0, Addison-Wesley, Reading, MA, 1997.

    Google Scholar 

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Correspondence to Stephen Lynch .

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Lynch, S. (2017). Planar Systems. In: Dynamical Systems with Applications Using Mathematica®. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-61485-4_3

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