Ordinary differential equation, in mathematics, an equation relating a function f of one variable to its derivatives. Y’,y”, ….yn,…with respect to x. (The adjective ordinary here refers to those differential equations involving one variable, as distinguished from such equations involving several variables, called partial differential equations.) Read More on This Topic The order of ordinary differential equations is defined to be the order of the highest derivative that occurs in the equation. A differential equationis an equation which contains one or more terms which involve the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable) dy/dx = f(x) Here “x” is an independent variable and “y” is a dependent variable For example, dy/dx = 5x A differential equation that contains derivatives which are either partial derivatives or ordinary derivatives. The derivatives re… equation that involves some ordinary derivatives (as opposed to partial derivatives) of a function In other words, the ODE’S is represented as the relation having one real variable x, the real dependent variable y, with some of its derivatives. In mathematics, the term “Ordinary Differential Equations” also known as ODEis a relation that contains only one independent variable and one or more of its derivatives with respect to the variable. An ODE of order is an equation of the form (1) where is a function of, is the first derivative with respect to, and is the th derivative with respect to. An ordinary differential equation (frequently called an "ODE," "diff eq," or "diffy Q") is an equality involving a function and its derivatives. The general form of n-th ord…
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