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differential equation |
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differential equationMathematical statement that contains one or more derivatives. It states a relationship involving the rates of change of continuously changing quantities modeled by functions. Differential equations are very common in physics, engineering, and all fields involving quantitative study of change. They are used whenever a rate of change is known but the process giving rise to it is not. The solution of a differential equation is generally a function whose derivatives satisfy the equation. Differential equations are classified into several broad categories. The most important are ordinary differential equations (ODEs), in which change depends on a single variable, and partial differential equations (PDEs), in which change depends on several variables. See also differentiation. differential equation [‚dif·ə′ren·chəl i′kwā·zhən] (mathematics) An equation expressing a relationship between functions and their derivatives. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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The result is the following differential equation of Riccati type: Four hundred years ago, Gauss taught calculus and differential equations at the University of Gottingen in Germany. In the mid-1800s, Lejeune Dirichlet, a famous German mathematician, investigated the solutions of boundary problems with partial differential equations in the interior of a region. |
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