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differential equation
noun
: 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
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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 22 Nov. 2024.
More from Merriam-Webster on differential equation
Britannica.com: Encyclopedia article about differential equation
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