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Systems of differential equations

Chapter

Abstract

In this chapter we will consider simultaneous first-order differential equations in several variables, that is, equations of the form
$$\begin{array}{*{20}{l}} {\frac{{d{x_1}}}{{dt}}\, = \,{f_1}\,\left( {t,{x_1}, \ldots ,{x_n}} \right),}\\ {\frac{{d{x_2}}}{{dt}}\, = \,{f_2}\,\left( {t,{x_1}, \ldots ,{x_n}} \right),}\\ {\,\,\, \vdots }\\ {\frac{{d{x_n}}}{{dt}}\, = \,{f_n}\,\left( {t,{x_1}, \ldots ,{x_n}} \right)} \end{array}$$
(1)
.

Keywords

Vector Space Characteristic Polynomial Scalar Multiplication Independent Solution Nonzero Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag, New York Inc. 1978

Authors and Affiliations

  1. 1.Department of Mathematics Queens CollegeCity University of New YorkFlushingUSA

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