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An inexact differential is a differential whose integral is path dependent, such as heat and work in thermodynamics. Learn the definition, notation, examples and how to convert inexact differentials to exact ones with integrating factors.
Learn how to test whether a differential is exact or inexact, and how to find the function whose total differential is a given differential. See examples, definitions, and proofs of theorems related to exact and inexact differentials.
28 paź 2024 · An inexact differential is an infinitesimal that is not the differential of a function and cannot be written as an exact differential. Learn the meaning, notation and common example of an inexact differential in thermodynamics.
An inexact differential equation is a differential equation that can be transformed into an exact one by multiplying by an integrating factor. Learn the solution method, the history and the references of this topic.
Learn the definitions and properties of exact and inexact differentials, and how to apply them in thermodynamics and calculus. This web page is a summary of Chapter 9.6 of a chemistry textbook by Michael Levitus.
Learn the definition and examples of exact and inexact differentials in physics, and how they affect the work done along different paths. Exact differentials are path-independent and can be written as the total derivative of a function, while inexact differentials are path-dependent and require a closed path integral.
Learn how to distinguish between exact and inexact differentials in chemistry and physics, and how to use them to solve problems. This web page covers the definition, properties, and applications of exact and inexact differentials, with examples and exercises.
