Linear O.D.E Solver
Tech Stack
Project Overview
The Linear O.D.E Solver is a robust desktop application designed to solve first-order linear ordinary differential equations of the form A(x)y' + P(x)y = R(x).
It automates the mathematical process of finding the integrating factor and the general solution, providing both symbolic answers and graphical visualizations of the solution curve.
The Goal
To provide engineering and mathematics students with a clean, modern tool that not only solves equations but helps visualize the behavior of the solutions through high-quality plotting and TeX rendering.
App Gallery (Scroll to view)
Detailed Features
Symbolic Solving
Powered by SymPy, the engine finds exact analytical solutions rather than just numerical approximations, making it ideal for academic study.
Dynamic Visualization
Integrates Matplotlib directly into the GUI to plot the particular solution curve (y vs x), providing instant visual feedback for the solved equation.
LaTeX Rendering
The application renders the final general solution formula in crisp, textbook-quality LaTeX format, ensuring readability and precision.
Input Validation
Real-time checks on user inputs ensure valid mathematical expressions are entered for coefficients A(x), P(x), and R(x) before solving.