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The phrase "characteristic equation" is correct and usable in written English.
You might use it when referring to an equation that expresses a characteristic property of something, such as a system or function. For example, "The characteristic equation of the system was determined to be X^2 + 2X + 1 = 0".
Exact(60)
Root of characteristic equation.
and the characteristic equation (16).
with the characteristic equation either, for, (1.8).
The characteristic equation has the form.
The characteristic equation of is (3.45).
The characteristic equation of is, where.
The characteristic equation is, where (3.6).
The characteristic equation of is, where (3.12).
The characteristic equation of the system (4.12).
An exact characteristic equation is derived.
The characteristic equation is easy to realize stabilization.
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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