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 One of Hilbert’s problems, about families of curves defined by differential equations, was considered solved. Quanta Magazine, 22 May 2024 Her formula is complicated, but Sarnak hails it as an important new kind of function, comparable to the Airy functions that define solutions to differential equations used in a variety of contexts in physics, ranging from optics to quantum mechanics. Lyndie Chiou, Quanta Magazine, 5 Mar. 2024 These utilize a liquid neural network design, but there's a key addition – researchers have figured out how to solve differential equations simulating the interaction of two neurons through synapses (applying, in the models, ‘sigmoidal’ synapse designs). John Werner, Forbes, 29 Feb. 2024 Applying differential equations to each node, these new networks can do the same kinds of advanced things that a traditional network did with 1000 or 2000 neurons. John Werner, Forbes, 29 Feb. 2024 On the left are the differential equations that model the flight of the lunar lander in their textbook form. IEEE Spectrum, 28 Dec. 2023 Engineers connected potentiometers and op-amps to set up representations of knotty differential equations and read the solutions as varying output voltages. IEEE Spectrum, 28 Dec. 2023 One paper posted in July uses them to construct solutions to a system of differential equations used to model everything from predator-prey interactions to waves traveling in high-energy plasmas. Alex Stone, Quanta Magazine, 16 Nov. 2023 The Fourier transform has played a fundamental role in solving differential equations, expressing quantum mechanical ideas like the Heisenberg uncertainty principle, and analyzing and processing signals — making things like modern mobile phones possible. Quanta Magazine, 12 Sep. 2023

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'differential equation.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History

First Known Use

1704, in the meaning defined above

Time Traveler
The first known use of differential equation was in 1704

Dictionary Entries Near differential equation

Cite this Entry

“Differential equation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/differential%20equation. Accessed 19 Jul. 2024.

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