AI Differential equation solver

• 

  AI.DE solver

About the Project

This project was inspired by the difficulty many students face when learning differential equations. While solving equations is important, understanding the step-by-step process is even more critical. I wanted to build a tool that not only computes solutions but also helps users understand how those solutions are obtained.

How I Built It

The project was developed using Python and the SymPy library for symbolic computation. The system takes a differential equation as input, processes it using symbolic methods, and returns the exact analytical solution.

In addition, I implemented an explanation module that analyzes the structure of the equation and provides step-by-step guidance. The project is also designed to integrate with the Gemini API to generate natural language explanations, combining symbolic computation with AI-driven learning.

For example, the solver can handle equations such as:

$$ \frac{d^2 y}{dx^2} - \frac{dy}{dx} + y = 0 $$

and produce both the solution and an explanation of the method used.

Challenges I Faced

One of the main challenges was integrating the AI component using the Gemini API due to environment and compatibility issues. Another challenge was designing an explanation system that is simple enough for beginners while still being mathematically accurate.

I also faced issues with development tools and environment setup, which required troubleshooting and adapting the approach to ensure the project remained functional.

What I Learned

Through this project, I learned how to combine symbolic mathematics with intelligent explanation systems to create educational tools. I also gained experience in handling APIs, debugging technical issues, and structuring a complete project for submission in a hackathon environment.

Future Improvements

In the future, I plan to fully integrate the Gemini API to provide more advanced, dynamic explanations. Additional features could include support for higher-order differential equations, interactive input, and a graphical user interface for better usability.

Built With

• api
• gemini
• jupyter
• python
• sympy