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An equation involving derivatives of a function or functions.

*‘Many of these mathematicians turned to other topics such as topology, differential equations, and functions of a complex variable.’**‘He then wrote on algebraic functions, differential equations and complex analysis.’**‘He summed series, and discovered addition theorems for trigonometric and hyperbolic functions using the differential equations they satisfy.’**‘What is also fascinating is that the different types of solution of the quadratic equation lead to quite different solutions of the differential equation.’**‘We can make this description more mathematical by formulating a differential equation for the proportion of individuals in each class (the equations are shown at the end of the article).’*

**Pronunciation**

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