Howtosignalprocessing
The differential equation for a given function can be represented in a form: f(x) = dy/dx where “x” is an independent variable and “y” is a dependent variable.
What is exact differential equation in thermodynamics?
If a system is in thermodynamic equilibrium than d Q / T is the exact differential of the entropy . This result allows us to write the relation d Q = T d S between heat and entropy, which should be understood as valid as long as the system is in thermodynamic equilibrium.
What is an exact solution?
As used in physics, the term "exact" generally refers to a solution that captures the entire physics and mathematics of a problem as opposed to one that is approximate, perturbative, etc. Exact solutions therefore need not be closed-form.
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