Mastered trigonometry? Conquered calculus? Differential equations await the intrepid math scholar...and the Standard Deviants are ready to help! This video covers the basics: First order differential ...

We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sence and can be related to symplectic schemes in Hamiltonian sense by different symplectic ...

Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

When you buy through links on our articles, Future and its syndication partners may earn a commission. Mathematicians have solved a longstanding algebra problem, providing a general solution for ...

The neutral differential equation (1.1) $\frac{{{d^n}}} {{d{t^n}}}[x(t) + h(t)x(t - r)] + \sigma f(t,x(g(t))) = 0$ is considered under the following conditions: n ≥ ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...