differential equation


Definition of differential equation

: an equation containing differentials or derivatives of functions — compare partial differential equation

Examples of differential equation in a Sentence

Recent Examples on the Web Just how can a box of gears, cams, racks, and pins handle ballistics calculations based on differential equations with dozens of variables in real time? Sean Gallagher, Ars Technica, "Gears of war: When mechanical analog computers ruled the waves," 24 May 2020 Physicists have a lot of experience in dealing with dynamical systems modelling, differential equations, and computer/ data scientists can analyse the data that is available. Bhavya Dore, Quartz India, "A group of 300 Indian scientists is fighting the Covid-19 fake news machinery," 8 Apr. 2020 The Langlands program relates prime number values of polynomial equations to spectra from the differential equations studied in analysis and geometry. Quanta Magazine, "Robert Langlands, Mathematical Visionary, Wins the Abel Prize," 20 Mar. 2018 Five of them will be taking college courses in differential equations, abstract algebra and discrete mathematics as 10th-graders at Pasadena High School this fall. Jay Mathews, Washington Post, "Why are so many 8th-graders taking AP Calculus at this school district?," 6 July 2019 Another plaintiff, Nick Venner, seventeen, dons headphones and begins solving differential equations on his laptop. Julia Felsenthal, Vogue, "Do Americans Have a Constitutional Right to a Livable Planet? Meet the 21 Young People Who Say They Do," 21 Mar. 2019 This makes for a complicated set of relationships that can be studied using differential equations. Eugenia Cheng, WSJ, "Going With the Flow of Traffic," 9 Nov. 2018 Solving the differential equations shows this dependency and leads to some counterintuitive solutions. Eugenia Cheng, WSJ, "Going With the Flow of Traffic," 9 Nov. 2018 Every single neuron has to be defined by a number of different variables, and each variable requires a set of differential equations to run. William Herkewitz, Popular Mechanics, "The Monumental Challenge of Mapping the Human Brain," 11 July 2014

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'differential equation.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of differential equation

1704, in the meaning defined above

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Time Traveler for differential equation

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The first known use of differential equation was in 1704

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Cite this Entry

“Differential equation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/differential%20equation. Accessed 23 Jan. 2021.

More from Merriam-Webster on differential equation

Britannica.com: Encyclopedia article about differential equation

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