Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Plural form of equation.
Etymologies
Sorry, no etymologies found.
Examples

The second paragraph continually mentions this “exactsolution” to the Einstein equations, which is of course, just as dubious a claim as it was the first time the author made it.

Now, if the scientists who are investigating the density of the earth's atmosphere have also determined the rate at which this fell, the only unknown quantity that remains in their equations is the weight of that rocket carrier.

It seems to have just enough in the way of functional language structures that succinctly writing model equations is not too much of a chore.
What makes software engineering for climate models different?  Serendipity

Solving the NavierStokes equations is notoriously difficult.

The difficulty of trying to discover such optimum global solutions to the NavierStokes equations is compounded by the nonlinearity of those equations.

The choice of initial conditions, or boundary conditions, or the choice of particular values for the free parameters in the equations, is simply a way of picking out a particular model of a mathematical structure.

Schwarzchild found long ago the solution of Einstein equations for the metric around a fixed spherically symmetrical centerofmass: ds2 =  (13m*/r) dT2 + (1 – 2m*/r) 1 dr2 + r2 (dθ+sin2θdφ2) …
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element

In section on the Einstein equations, Verlinde assumes again an emergent spacetime and then uses the relativistic analogues for the equations in the Newtonian section to arrive at the Einstein Equations in the same manner.
“On the Origin of Gravity and the Laws of Newton” by Erik Verlinde

Equation (\ref {complex}) contains many of the common structures to be used in equations, namely exponents, integrals, fractions, and square roots.

I doubt that a demonstated proficiency in calculus and differential equations is one of the '' standards '' for making the team.
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