Differential Equations

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9 Terms

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Differential Equation

an equation that involves derivatives

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Ordinary Differential Equation

a differential equation of two variables, one dependent and one independent.

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Partial Differential Equation

a differential equation with more than one independent variables.

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Order of a Differential Equation

refers to the order of the highest ordered derivative which appears in the Differential Equation

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Degree of a Differential Equation

is the algebraic degree of the highest ordered derivative which appears in the Differential Equation

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Linear Differential Equation

is one in which the dependent variable and its derivative occur to the 1st degree only and not to higher powers or in products.

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Solution of an Ordinary Differential Equation

an expression of the dependent variable not containing any derivative which satisfies the Differential Equation%

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General Solution (or primitive)

a solution which contains 'n' arbitrary constants if the order of the Differential Equation is n.

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Particular Solution

a solution obtained from the general solution by specifying the values of the arbitrary constants as determined from a given set of boundary conditions.