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Discover LudwigThe phrase "auxiliary equation" is correct and usable in written English.
It is typically used in mathematics and engineering contexts to refer to an equation that helps in solving a differential equation or a related problem.
Example: "To find the general solution of the differential equation, we first need to solve the auxiliary equation."
Alternatives: "associated equation" or "complementary equation".
Exact(57)
Auxiliary equation.
Consider an auxiliary equation.
and consider an auxiliary equation (2.13).
For, we consider the auxiliary equation (3.5).
Consider the following auxiliary equation: (3.3).
for all Considering the following auxiliary equation: (3.9).
(4) (3) Auxiliary equation The auxiliary equation is the saturation equation: S_{text{o} } + S_{text{w} } = 1.
Equation (38) acts as an auxiliary equation of the robust model which linearizes the proposed model.
Similar(3)
The auxiliary equations are solved by homotopy perturbation method.
The resulting set of transport, structural, kinetic and auxiliary equations was solved via numerical methods.
and the following auxiliary equations (which are analogs of the so-called s-trancated equations defined first in [5]).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com