autonomous differential equation

The Concise Oxford Dictionary of Mathematics;      32 words ...autonomous differential equation A differential equation where the independent variable does not explicitly occur. For example dv / dt = − kv is autonomous, but dv / dt = 3 t 2 + 4 t −3 is not.

order

The Concise Oxford Dictionary of Mathematics;      9 words ...order (of a differential equation) See differential equation .

Legendre's differential equation

The Concise Oxford Dictionary of Mathematics;      33 words ...Legendre's differential equation The differential equation (1 − x 2 ) y ″ − 2 xy ′ + n ( n − 1) y = 0 where n is a natural number . The solutions are the Legendre polynomials .

partial differential equation

The Concise Oxford Dictionary of Mathematics;      8 words ...partial differential equation See differential equation .

ordinary differential equation

The Concise Oxford Dictionary of Mathematics;      9 words ...ordinary differential equation See differential equation .

linear differential equation

The Concise Oxford Dictionary of Mathematics;      46 words ...linear differential equation A differential equation of the form where a 0 , a 1 ,…, a n and...y ( n ) are derivatives of y . See also linear differential equation with constant coefficients and linear first‐...

exact differential equation

The Concise Oxford Dictionary of Mathematics;      25 words ...exact differential equation An equation in which the exact differential of a function is equal to zero. If z = f ( x , y ) then is an exact differential equation.

particular solution

The Concise Oxford Dictionary of Mathematics;      7 words ...particular solution See differential equation .

first‐order differential equation

The Concise Oxford Dictionary of Mathematics;      32 words ...first‐order differential equation A differential equation containing only the first differential. For example, dy / dx = 5 x and 3 y dy / dx + 5 x = 3 are first‐order differential equations.

separable first‐order differential equation

The Concise Oxford Dictionary of Mathematics;      56 words ...separable first‐order differential equation A first‐order differential equation dy / dx = f ( x , y ) in which the...function of x and a function of y . The differential equation then has the form dy / dx = g...

homogeneous linear differential equation

The Concise Oxford Dictionary of Mathematics;      16 words ...homogeneous linear differential equation See linear differential equation with constant coefficients .

non‐homogeneous linear differential equation

The Concise Oxford Dictionary of Mathematics;      17 words ...non‐homogeneous linear differential equation See linear differential equation with constant coefficients .

linear first‐order differential equation

The Concise Oxford Dictionary of Mathematics;      84 words ...linear first‐order differential equation A differential equation of the formwhere P and Q are given functions. One method of solution...also be treated as a separable‐variable first‐order differential equation .

Functional Components of Variation in Handwriting.

Journal of the American Statistical Association;  March 1, 2000 ;     700+ words ......The goals are (a) to identify a differential equation that satisfactorily models the...registration steps, a second-order linear differential equation, for which the forcing function...Guerfali (1998). 1.1 Why a Linear Differential Equation? This article models this complex...

Neumann condition

The Concise Oxford Dictionary of Mathematics;      11 words ...Neumann condition A boundary condition for a partial differential equation .