# What is Differential Equations?

Fundamental mathematical equations used in physics and engineering that calculate the rates of change of variables with respect to each other.

## Overview
These equations explain how something changes over time or in relation to another factor. For example, the acceleration of a rocket or the learning processes of neural networks in artificial intelligence models are modeled with these equations. By establishing the relationship between the rate and direction of change, they allow us to predict future states.

*Analogy: It is like a prediction mechanism that calculates where a car will be in the next second by looking at its speedometer.*

## How it works
They express the relationship between variables using derivatives. When these equations are solved, a roadmap regarding the system's behavior over time is obtained.

## Where it is used
They are used in artificial intelligence model training, physics simulations, and engineering calculations.

## Commonly confused with
They can be confused with simple algebraic equations; however, these equations calculate not just constant values, but the change itself.

## Frequently asked questions
**Why does artificial intelligence use these equations?**
They need this mathematical foundation to make sense of weight updates in the learning process of models and movements in the physical world.

**Where do we see them in daily life?**
They work in the background in many places, from weather forecasts to calculating the braking distance of autonomous vehicles.


## Related terms
- [Machine Learning](/en/dictionary/machine-learning/)
- [Computer Science](/en/dictionary/computer-science/)
- [Deep Learning](/en/dictionary/deep-learning/)

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Source: TreScout Dictionary · https://trescout.com/en/dictionary/differential-equations/