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general solution

American  

noun

Mathematics.
  1. a solution to a differential equation that contains arbitrary, unevaluated constants.


Example Sentences

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Competitive excel has been around for about 20 years and is essentially a puzzle solving competition, thinking logically about how you can create a general solution to a question which is scalable and fast.

From BBC • Dec. 1, 2025

I’m beginning to think that the fire issue is so pervasive in so many of its manifestations that we can’t have a general solution, but neither do we need a universal response.

From Los Angeles Times • Feb. 14, 2025

In our recent study, my colleagues and I found a simpler and more general solution to the water paradox.

From Salon • Nov. 15, 2022

In this case, we know eλx is a solution to Equation 7.1, but it is only one solution and we need two linearly independent solutions to determine the general solution.

From Textbooks • Mar. 30, 2016

If aq − bp = −1 we obtain the general solution x = bt − cq, y = cp − at, which is of the same form as in the preceding case.

From Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" by Various