First-Order Ordinary Differential Equations



First-order ordinary differential equations have some rather special properties, which result for the most part because they can only contain a limited number of terms. In fact, all linear first-order ordinary differential equations can easily be solved. This is in contrast to higher-order ordinary differential equations that become much more difficult to solve when, for example, they contain variable coefficients. Furthermore, some methods exist to solve a pretty large class of nonlinear first-order ordinary differential equations, which is generally not the case for higherorder nonlinear equations.


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Copyright information

© Springer New York 2011

Authors and Affiliations

  1. 1.Department of Aerospace and Mechanical EngineeringUniversity of Notre DameNotre DameUSA

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