ordinary differential equation
11Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …
12partial differential equation — Math. a differential equation containing partial derivatives. Cf. ordinary differential equation. [1885 90] * * * In mathematics, an equation that contains partial derivatives, expressing a process of change that depends on more than one… …
13Exact differential equation — In mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in physics and engineering. Definition Given a simply connected and open subset D of R2 and two …
14Hypergeometric differential equation — In mathematics, the hypergeometric differential equation is a second order linear ordinary differential equation (ODE) whose solutions are given by the classical hypergeometric series. Every second order linear ODE with three regular singular… …
15Oscillation (differential equation) — In mathematics, in the field of ordinary differential equations, a non trivial solution to an ordinary differential equation :F(x,y,y , dots, y^{(n 1)})=y^{(n)} quad x in [0,+infty) is called oscillating if it has an infinite number of roots,… …
16Homogeneous differential equation — A homogeneous differential equation has several distinct meanings.One meaning is that a first order ordinary differential equation is homogeneous if it has the form : frac{dy}{dx} = F(y/x).To solve such equations, one makes the change of… …
17Inseparable differential equation — In mathematics, an inseparable differential equation is an ordinary differential equation that cannot be solved by using separation of variables. To solve an inseparable differential equation one can employ a number of other methods, like the… …
18Separable differential equation — In mathematics, a separable differential equation may refer to one of two related things, both of which are differential equations that can be attacked by a method of separation of variables.* For ordinary differential equations, it describes a… …
19Bernoulli differential equation — This topic in mathematics is named after Jakob Bernoulli. See Bernoulli s principle for an unrelated topic in fluid dynamics, named after the inventor Daniel Bernoulli. In mathematics, an ordinary differential equation of the form :y + P(x)y =… …
20Binomial differential equation — The binomial differential equation is the ordinary differential equation: left( y ight)^m = f(x,y)., References * Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 120, 1997 …
