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This ordinary differential equation is frequently encountered in physics and other technical fields.
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It can be used for both normal integration (i.e. quadrature), or the process of solving an ordinary differential equation.
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One of the simplest of macroscale models: an ordinary differential equation describing continuous exponential growth.
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For a boundary value problem of a second-order ordinary differential equation, the method is stated as follows.
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Suppose we have an ordinary differential equation in the complex domain.
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To solve this particular ordinary differential equation, at some point of the solving process, we need an initial value, a starting point.
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The classic bifurcation analysis is referred to as an ordinary differential equation system, which is independent on the spatial variables.
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This is just an ordinary differential equation for the coordinates.
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Note that in any given coordinate patch, (1) defines an ordinary differential equation, with the initial condition given by (2).
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The dimension of a vector ordinary differential equation is simply the dimension of the vector dependent variable, or the vector function.
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