Calculadora EDO 🔢

A Python script designed to solve first and second-order ordinary differential equations (ODEs). This project was developed as part of a classroom activity, showcasing practical examples of differential equations.

Table of Contents 🔍

• About the Project
• Features
• How to Use
• Examples
• Requirements
• Contributors
• Links

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About the Project 🌐

The Calculadora EDO is a script that allows users to solve first and second-order differential equations interactively by inputting coefficients and functions. Although initially envisioned as a web application, this project is currently available as a Python script.

Supported Equations

First-Order Equations

• General form: A * dy/dx + B * y = C

Second-Order Equations

• General form: A * d²y/dx² + B * dy/dx + C * y = D

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Features 📊

• Interactive input for equation coefficients.
• Solves:
  • First-order ODEs
  • Second-order ODEs
• Built using Python’s mathematical capabilities.
• Easy-to-understand syntax and design.

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How to Use 🔧

1. Ensure you have Python 3.x installed on your system.

2. Clone the repository:

   git clone https://github.com/oalbertocavalcante/calculadora-edo
   

Examples 📚

First-Order Equation

General form: A * dy/dx + B * y = C

Example 1

• A = 2, B = 3
• C = e^x + 0

Example 2

• A = 1, B = -1
• C = x^2

Second-Order Equation

General form: A * d²y/dx² + B * dy/dx + C * y = D

Example 1

• A = 1, B = 2, C = 1
• D = e^(2x) + 0

Example 2

• A = 1, B = -3, C = 2
• D = sin(x)

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Requirements 📄

• Python: Version 3.x or later.
• No additional libraries required.

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Contributors 🤝

This project was developed collaboratively as part of a group activity:

• Alberto Côrtes - LinkedIn
• Lucas Machado

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Links 🔗

• Google Colab: Open in Colab
• YouTube Demonstration: Watch on YouTube