differential equation

noun

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

Examples of differential equation in a Sentence

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The solution of differential equations that involve only one derivative typically requires less than 0.1 microjoules of energy on our computer. IEEE Spectrum, 1 Dec. 2017 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 See all Example Sentences for differential equation 

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 30 Nov. 2024.

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