Introduction euler integration of differential equations?

The website in the Related Link should be of some assistance.

Differential equation is defined in the domain except at few points (may be consider the time domain ti ) may be (finite or countable) in the domain and a function or difference equation is defined...

Another method to solve differential equation is taking y and dy terms on one side, and x and dy terms on other side, then integrating on both sides.This is a general solution. So if we want to...

An equation in terms of functions and its nth-order derivatives. For example, dy/dx = x^2 + y is a differential equation.

It happens when the solution for the equation is periodic and contains oscillatory functions such as cos, sin and their combinations.