Therefore, it may be necessary to construct more exact differential equations by building them up based on the actual system performance rather than a theoretical model.

The method is based on the averaging principle when the exact differential equation of the motion is replaced by its averaged version.

The nomenclature of "exact differential equation" refers to the exact derivative of a function.

For time-dependent problems, stability guarantees that the numerical method produces a bounded solution whenever the solution of the exact differential equation is bounded.

In mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in physics and engineering.

This section includes all his works on the theory of differential equations, ordinary or partial ones: classifies this contributions as works in the theory of the equations of dynamics, in the theory of first-order partial differential equations and in the theory of exact differential equations.