- #1
darthchocobo
- 10
- 0
Hey can someone give me an example of a differential equation and explain it? or give me a site where i can learn it cause i need some guidence... lol
Arigato,
Darthchocobo
Arigato,
Darthchocobo
A differential equation is a mathematical equation that involves derivatives of an unknown function. It describes how the value of a function changes in response to the changes in the input variables.
Differential equations are used to model various phenomena in fields such as physics, engineering, economics, and biology. Some examples include population growth, fluid mechanics, electrical circuits, and chemical reactions.
The three main types of differential equations are ordinary differential equations, partial differential equations, and stochastic differential equations. Ordinary differential equations involve only one independent variable, while partial differential equations involve multiple independent variables. Stochastic differential equations involve random variables and are used in modeling systems with uncertain outcomes.
The order of a differential equation is the highest derivative present in the equation. For example, a first-order differential equation contains only first derivatives, while a second-order differential equation contains second derivatives.
There are several methods for solving differential equations, such as separation of variables, substitution, and using integrating factors. Other techniques include power series, Laplace transforms, and numerical methods such as Euler's method and Runge-Kutta methods.