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Since this is one and the same force the ordinary differential equation follows.
This is just an ordinary differential equation for the coordinates.
This is usually the method we use for complicated ordinary differential equations.
As always, these are second order nonlinear ordinary differential equations.
Suppose we have an ordinary differential equation in the complex domain.
It is a coupled system of linear ordinary differential equations.
This is an ordinary differential equation of second order.
The resulting ordinary differential equations are stiff and require therefore special attention.
In such a case, the problem devolves to N ordinary differential equations.
Doing so, one can eliminate the friction force to obtain a system of ordinary differential equations.
For example, it arises as the point symmetry group of a certain ordinary differential equation.
Many physical, chemical, biological and electrical systems are well described by ordinary differential equations.
He is also teaching ordinary differential equations to mechatronics engineering department.
See the article on numerical ordinary differential equations for more background and other methods.
They are typically modeled as a set of coupled ordinary differential equations.
This time evolution is given by a system of linear ordinary differential equations which can be solved.
Symmetries may be found by solving a related set of ordinary differential equations.
Like his teacher Fuchs, he worked primarily on linear ordinary differential equations.
The notion of flow is basic to the study of ordinary differential equations.
Consider the ordinary differential equation for a solution evolving in time:
It is often used as a graphical method of solving ordinary differential equations.
Periodic solutions of a system of two ordinary differential equations.
On the characteristic exponents of the second order linear ordinary differential equation.
Many interesting special functions arise as solutions of linear second order ordinary differential equations.
This ordinary differential equation is frequently encountered in physics and other technical fields.