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22 relations: Chain rule, Differential of a function, Entropy, Exact differential, Examples of differential equations, Function (mathematics), Homogeneous differential equation, Implicit function, Inexact differential, Mathematics, MathWorld, Matrix exponential, Multivariable calculus, Nonelementary integral, Ordinary differential equation, Product rule, Quotient rule, Scalar field, Separation of variables, Temperature, Thermodynamics, Variation of parameters.
Chain rule
In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions.
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Differential of a function
In calculus, the differential represents the principal part of the change in a function y.
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Entropy
In statistical mechanics, entropy is an extensive property of a thermodynamic system.
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Exact differential
In multivariate calculus, a differential is said to be exact or perfect, as contrasted with an inexact differential, if it is of the form dQ, for some differentiable function Q.
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Examples of differential equations
Differential equations arise in many problems in physics, engineering, and other sciences.
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Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
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Homogeneous differential equation
A differential equation can be homogeneous in either of two respects: the coefficients of the differential terms in the first order case could be homogeneous functions of the variables, or for the linear case of any order there could be no constant term.
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Implicit function
In mathematics, an implicit equation is a relation of the form R(x_1,\ldots, x_n).
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Inexact differential
An inexact differential or imperfect differential is a specific type of differential used in thermodynamics to express the path dependence of a particular differential.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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MathWorld
MathWorld is an online mathematics reference work, created and largely written by Eric W. Weisstein.
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Matrix exponential
In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function.
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Multivariable calculus
Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving multiple variables, rather than just one.
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Nonelementary integral
In mathematics, a nonelementary antiderivative of a given elementary function is an antiderivative that is, itself, not an elementary function (i.e. a function constructed from a finite number of quotients of constant, algebraic, exponential, and logarithmic functions using field operations).
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Ordinary differential equation
In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.
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Product rule
In calculus, the product rule is a formula used to find the derivatives of products of two or more functions.
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Quotient rule
In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions.
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Scalar field
In mathematics and physics, a scalar field associates a scalar value to every point in a space – possibly physical space.
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Separation of variables
In mathematics, separation of variables (also known as the Fourier method) is any of several methods for solving ordinary and partial differential equations, in which algebra allows one to rewrite an equation so that each of two variables occurs on a different side of the equation.
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Temperature
Temperature is a physical quantity expressing hot and cold.
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Thermodynamics
Thermodynamics is the branch of physics concerned with heat and temperature and their relation to energy and work.
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Variation of parameters
In mathematics, variation of parameters, also known as variation of constants, is a general method to solve inhomogeneous linear ordinary differential equations.
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Euler multiplier, Integrating factor method, Integrating factor technique, Integrating factors, Integration factor, Intergrating factor, Method of integrating factor.
References
[1] https://en.wikipedia.org/wiki/Integrating_factor
