DiffEqDefinitions

DiffEqDefinitions - DIFFERENTIAL EQUATIONS DEFINITIONS A...

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DIFFERENTIAL EQUATIONS DEFINITIONS A Glossary of Terms differential equation - An equation relating an unknown function and one or more of its derivatives first order - A first order differential equation contains no derivatives other than the first derivative. The order of a differential equation should give the number of constants in the general solution. ordinary - An ordinary differential equation has only one independent variable autonomous - Describes a differential equation in which the independent variable t does not appear explicitly, for example, dx dt x x = - 4 2 initial condition - A specified starting point such as t 0 = 0 which represents a point on the graph from which the solution curve begins solution - A solution for a differential equation is a function whose elements and derivatives may be substituted into the differential equation general solution - The general solution of a differential equation contains an arbitrary constant C . particular solution - When an initial value is specified, a solution (function) containing no constant trivial solution - All coefficients are equal to zero isocline - A line or curve formed by plotting constant values of the first differential, i.e. points at which the slope is uniform. This is not necessarily a solution of the differential equation. p20 separable - A differential equation in which the dependent and independent variables can be algebraically separated on opposite sides of the equation. explicit -
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DiffEqDefinitions - DIFFERENTIAL EQUATIONS DEFINITIONS A...

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