Separation of variables is a powerful method for solving differential equations, enabling the simplification of complex problems into more manageable parts. This video offers a clear and detailed ...

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

We give the existence and the analytic form of the solutions to the linear fractional differential equations in which coefficients are bounded function on [0, b]. The method which is used is based on ...

In many biological and physical systems, feedback mechanisms depend on a set of thresholds associated with the state variables. Each feedback has a characteristic time scale. We suggest that ...

If the same system is expressed as the following general-form equation, then this equation is used unchanged. EQ.y = y - a + b*x; This makes it easy to solve for ...