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ordinary differential equation

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ordinary differential equation

Equation containing derivatives of a function of a single variable. Its order is the order of the highest derivative it contains (e.g., a first-order differential equation involves only the first derivative of the function). Because the derivative is a rate of change, such an equation states how a function changes but does not specify the function itself. Given sufficient initial conditions, however, such as a specific function value, the function can be found by various methods, most based on integration.


ordinary differential equation [′ȯrd·ən‚er·ē ‚dif·ə′ren·chəl i′kwā·zhən]
(mathematics)
An equation involving functions of one variable and their derivatives.


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A component x(t) of a given ordinary differential equation system is said to be persistent (uniformly strongly) if there exists a constant k > 0 such that [lim.
Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
The assumed background of the reader is limited to standard undergraduate topics in physics and mathematics, especially complex arithmetic, vector analysis, ordinary differential equations, and certain topics normally covered in a 'signals and systems' course, such as the Fourier transform.
 
 
 
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