How To Use Differential equation In A Sentence

They do not solve, say, differential equations in any formal way. Times, Sunday Times
However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory.
He studied time dependent hyperbolic partial differential equations and also began to work on the Cauchy problem.
He became a physics major but differential equations and calculus just didn't excite him.
Picard also discovered a group, now called the Picard group, which acts as a group of transformations on a linear differential equation.

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It takes neither differential equation nor Laplace transformation. Instead , some algebraic Methods: Will do.
ON BOUNDARY VALUE PROBLEMS OF THE SECOND ORDER PARTIAL DIFFERENTIAL EQUATION WITH COMPLEMENTARY BOUNDARY CONDITIONS.
Yeah, outside of Calc I (derivatives and integrals) and differential equations (ODE is ordinary differential equations), the rest of the Calc (Calc II and III) is not so important. Steven Levitt, Arnold Kling | EconLog | Library of Economics and Liberty
The non-linear differential equation describing the growth of a biological population which he deduced and studied is now named after him.
This paper deals with the boundedness of second-order functional differential equations, ar. d obtains sufficient criteria of the equation boundedness.
Norman decided to shift his field from gap and density theorems to non-linear differential equations, both ordinary and partial.
It was there that he began work on his first book on partial differential equations. Times, Sunday Times
In this thesis he studied the representation of arbitrary functions by the eigenfunctions of partial differential equations and other given sets of functions.
This entire generation of footballers get it in the neck for their conspicuous inability to solve differential equations. Times, Sunday Times
Almost in the same years, P. P.arle [P.arle, 1976,1979], and subsequently N. Gisin [Gisin, 1984] and others, had entertained the idea of accounting for the reduction process in terms of a stochastic differential equation. Collapse Theories
The non-linear differential equation describing the growth of a biological population which he deduced and studied is now named after him.
It has proved to be the computational method of choice for symbolic manipulation in algebraic geometry, differential equations, and combinatorics.
Two other papers which he published in the same year in publications of the Royal Society of Edinburgh were on the scalar functions of a vector and on an application of quaternions to differential equations.
A Parallel Partial Differential Equations Solver Generator on World Wide Web.
But among the remaining parts of Pure Mathematics we have the theory of Elliptic Functions and of the Jacobian and Abelian Functions, and the theory of Differential Equations, including of course Partial Differential Equations. Autobiography
He worked on the general theory of boundary value problems for linear systems of partial differential equations of elliptic type, finding general methods of solving boundary value problems.
It was there that he began work on his first book on partial differential equations. Times, Sunday Times
To do this, he advanced the study of differential equations from numbers, formulas, and the manipulation of algebraic equations to geometry, curves, and the visualization of flows.
He extended the applications of the operational method to linear ordinary differential equations with variable coefficients.
This course consists of several major parts, such as Derivatives, Integration Ordinary Differential Equation and Series.
He wrote on algebraic integrals of certain differential equations.
Esclangon elaborated a theory for these functions, studied their differentiation and integration, and examined the differential equations which allow them as coefficients.
To give a personal example, I did extremely poorly in differential equations courses in engineering, and did so-so in other math courses. The Volokh Conspiracy » Do Law Schools Seek “Exciting” and “Diverse” Students?
His work is almost exclusively on calculus, in particular differential equations and functions of a real variable.
Laplace transformation, array, vector, determinate, linear equation set, Fourier series, partial differential equations.
I progressed happily through differential equations and linear algebra to upper-level engineering courses on time-series analysis and computer programming.
But he was the first ever to appreciate, demonstrate and exploit the utility of completely integrable systems of linear homogeneous differential equations for projective differential geometry.
For example, the following system of differential equations can be solved in terms of Fresnel integrals. Wolfram Blog : College Calculus with Mathematica
In the 1815 paper, which Pfaff submitted to the Berlin Academy on 11 May, he presented a transformation of a first-order partial differential equation into a differential system.
This paper introduces some methods for solving constant coefficient non-homogeneous linear differential equation by means of examples .
Duhamel worked on partial differential equations and applied his methods to the theory of heat, to rational mechanics and to acoustics.
This motion can be described in terms of a differential equation, and in the case of small swings of the pendulum this equation can be solved to find the time of the swing.
This model consists the hyperbolic partial differential equations, boundary conditions and cyclical conditions of the system.
It involved appeal to the flow of energy governed by thermodynamics and differential equations - all concepts possessing unobservable aspects - and made full use of a manifold of mental pictures.
Beurling worked on the theory of generalized functions, differential equations, harmonic analysis, Dirichlet series and potential theory.
The earliest partial differential equation problem was introduced in mechanics, geometry and physics.
This reminds us of the fact that in acoustics, a series of discrete frequency values is coordinated to a linear partial differential equation (if boundary values are given) namely the sinusoidal periodic solutions. Out Of My Later Years
There were many long calculations, deriving one formula from another to solve a differential equation.
Within the next three years Stone published 10 more papers on various aspects of the theory of orthogonal expansions, especially expansions in terms of eigenfunctions of linear differential equations.
He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.
As Mr. Markopolos observes: "The quants who create these financial products understand differential equations and nonnormal statistics; they program in languages the SEC doesn't speak; they run statistical packages the SEC doesn't even know exist. Shadowing a Swindler
The validity of the controller is proved through theoretical analysis based on the invariance principle of differential equations and numerical simulations.
He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.
We obtain sufficient conditions for the oscillation of all solutions of the nonlinear even order neutral functional differential equation with continuous distributed delay.
As a Mathematica kernel developer for calculus functions, I have collected many fascinating examples that illustrate the world-class functionality for computing integrals, solving differential equations, and other operations available in Mathematica. Wolfram Blog : College Calculus with Mathematica
His work in studying the trajectories of point masses on a surface led to certain non-linear differential equations whose solution also gave properties of geodesics.
Their main research interests are in probability theory, partial differential equations and biomathematics.
Some of the math is quite sophisticated, using differential equations, linear algebra, and covariance matrices.
He worked on the four colour problem and also published books on calculus, differential equations, complex variable and Fourier series.
He was particularly interested in the courses in complex variable, integral equations and differential equations.
Many of these mathematicians turned to other topics such as topology, differential equations, and functions of a complex variable.
It involves all sorts of differential equations which cannot be handled simply rationally. Times, Sunday Times
This integral was introduced in a paper on differential equations of the second order which he wrote in 1870.
Euler here also begins developing the kinematics and dynamics of rigid bodies, introducing in part the differential equations for their motion.
This paper deals with the oscillation of the first order nonlinear neutral type functional differential equation, and obtains sufficient criterion of the equation oscillation.
If you are up to it, you can derive the proper equation yourself by solving the calculus differential equation for a curve with a constant angle between the radial and tangent vectors (HUH?).
So how do mathematicians solve these complicated differential equations?
Shtokalo worked mainly in the areas of differential equations, operational calculus and the history of mathematics.
He undertook a large-scale work on generalised differential equations in functional derivatives.
This course consists of several major parts, such as Derivatives, Integration Ordinary Differential Equation and Series.
It was heavy duty mathematics at that, involving an obscure technique known as stochastic differential equations.
In what way did my doing poorly in differential equations — or for that matter doing extremely well in computer programming or nuclear engineering or whatever — relate to the skills needed to succeed in law school? The Volokh Conspiracy » Do Law Schools Seek “Exciting” and “Diverse” Students?
Norman decided to shift his field from gap and density theorems to non-linear differential equations, both ordinary and partial.
Typically, such a plant's behaviour can be described by a differential equation which depends on coefficients.
Here, a series of first-order partial differential equations are set up to quantify the steady- and unsteady-state flux corresponding to the cells in the free stream, the rolling cells, and the firmly adherent cells.
We must make the course accessible to students whose common background includes only the freshman and sophomore courses in calculus and differential equations.
The only way to compute complete trajectories was to integrate the differential equations numerically.
Most of his papers are solutions to problems posed by Euler on spherical geometry, trigonometry, series, differential geometry and differential equations.
His first mathematical research was on analysis, in particular concentrating on integrals and solutions of differential equations.
The dynamics are therefore described by the following first-order, linear differential equations for the growth of and switching between the two subpopulations
It involves all sorts of differential equations which cannot be handled simply rationally. Times, Sunday Times
In 1865 Fuchs studied nth order linear ordinary differential equations with complex functions as coefficients.
It takes neither differential equation nor Laplace transformation. Instead , some algebraic Methods: Will do.
It has proved to be the computational method of choice for symbolic manipulation in algebraic geometry, differential equations, and combinatorics.
Research fields: Partial differential equations, Biological population dynamics.
I progressed happily through differential equations and linear algebra to upper-level engineering courses on time-series analysis and computer programming.
It was then that he became aware of the mysteries underlying the subject of non-linear partial differential equations.
Differential equations describe the relationship of causality.
He extended the applications of the operational method to linear ordinary differential equations with variable coefficients.
Its used in all sorts of things in calculus where recursion is necessary, like differential equations.
He also worked on asymptotic analysis, fractional integration and singular partial differential equations.
He obtained his PhD in 1964 for a thesis on partial differential equations. Times, Sunday Times
The formula of solutions is established for the initial problem and period boundary value problem of first order variable coefficient linear impulsive differential equations.
differential equation
His research was mostly on second order ordinary differential equations.
Little did I know that my mastery of differential equations would have no bearing whatsoever on my ability to fulfill a drunk Southern woman's request to bring her taters and biscuits, like, right now, missy!
Typically, such a plant's behaviour can be described by a differential equation which depends on coefficients.
It is generally regarded as a study of the iteration of maps, of time evolution of differential equations, and of group actions on manifolds.
His work is almost exclusively on calculus, in particular differential equations and functions of a real variable.
He also worked on conformal mappings and potential theory, and he was led to study boundary value problems for partial differential equations and the theory of various functionals connected with them.
You can plot 2D graphs and you can work with matrices, do complex integrals, calculate very large factorials, and that's the most simple stuff. try matrices: or differential equations: First Look At Wolfram Alpha’s Impressive Knowledge Computation | Lifehacker Australia
Differential equations of tile first order in the finite discrete function are established, the solutions of which have very simpler structure.
He also worked on asymptotic analysis, fractional integration and singular partial differential equations.
By using qualitative classical theory of ordinary differential equation, a class of planar quintic polynomial differential system is qualitatively analyzed.
Schauder's fixed point theorem and his skillful use of function space techniques to analyse elliptic and hyperbolic partial differential equations are contributions of lasting quality.
Simion was soon teaching college-level courses such as multivariate calculus and differential equations to the most advanced math students.
These include singular solutions to differential equations, a change of variables formula, and a way of relating the derivative of a function to the derivative of the inverse function.
Families of curves arise, for example, in the solutions to differential equations with a free parameter.
This entire generation of footballers get it in the neck for their conspicuous inability to solve differential equations. Times, Sunday Times
This entire generation of footballers get it in the neck for their conspicuous inability to solve differential equations. Times, Sunday Times
This is what you do with homogeneous differential equations.
I progressed happily through differential equations and linear algebra to upper-level engineering courses on time-series analysis and computer programming.
In this paper, we study the oscillatory behavior for second order nonlinear functional differential equation.
In the study of differential equations his methods of lowering the order of an equation and separating variables were important.
He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.
This entire generation of footballers get it in the neck for their conspicuous inability to solve differential equations. Times, Sunday Times
He did important work on differential equations and applications to mathematical physics.
The validity of the controller is proved through theoretical analysis based on the invariance principle of differential equations and numerical simulations.
In addition to his work on set theory, Cohen has worked on differential equations and harmonic analysis.
He showed how to find integrals of a general system of partial differential equations by using sequential complete systems instead of passing to Jacobian systems.
I remember sitting in my offce for several months, staring at a single differential equation, trying to solve it using confluent hypergeometric functions. Martinus J.G. Veltman - Autobiography
In fact, the information-processing mechanisms are designed for implementing the systems of differential equations associated with neural networks.
It was then that he became aware of the mysteries underlying the subject of non-linear partial differential equations.
The great thing about differential equations is that they produce nice smoothly continuous change in the quantities they describe.
They do not solve, say, differential equations in any formal way. Times, Sunday Times
He obtained his PhD in 1964 for a thesis on partial differential equations. Times, Sunday Times
Thus, time domain simulation under uncertainty is transformed to the solving of interval differential equations, which needs a certain interval integral method.
The third part of Mathematical exercises was on the Riccati differential equation while the final part was on a geometry question concerning figures bounded by two arcs of a circle.
From 1939 Titchmarsh concentrated on the theory of series expansions of eigenfunctions of differential equations, work which helped to resolve problems in quantum mechanics.
College: Differential and Integral Calculus , Differential Equations, Linear Algebra, Probability and Statistics, Discrete Math.
He also worked on asymptotic analysis, fractional integration and singular partial differential equations.
Among his many mathematical achievements can be included profound discoveries in logic, algebra and differential equations.
It was a matter of estimating eigenvalues of non-self-adjoint differential equations and matrices.

How To Use Differential equation In A Sentence

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