Custom Differential Equations Tool

I want a study tool that feels tailor-made for the way I learn differential equations. I regularly tackle both ordinary and partial differential equations, so the software must recognise, parse, and support problems from either category without extra configuration on my end.

Core functionality I need:
• Step-by-step solutions that I can expand or collapse so I can peek at a hint or reveal a full derivation.
• Built-in graph plotting (2-D and, when it makes sense, 3-D surfaces) to visualise results and verify boundary or initial conditions visually.
• A bank of practice problems with randomisation or variable parameters, plus the ability to upload or paste my own questions and have them auto-classified.

I’m fine with any modern stack—Python with SymPy, Julia, MATLAB back-end, or a web-first approach using JavaScript libraries like MathJax and Plotly—so long as the final product is quick to load and simple to update. An intuitive interface and clean LaTeX-quality rendering of maths are essential.

Deliver a runnable prototype, source code, and brief user guide. I’ll provide detailed feedback once I’ve seen an early demo, so factor in at least one revision round. Looking forward to seeing how you can turn these requirements into a smooth learning companion.