# Modular differential equations and algebraic systems

## TL;DR

This paper explores how solutions to explicit algebraic systems can be used to generate solutions to infinite families of modular differential equations, linking algebraic and differential structures.

## Contribution

It introduces a method connecting algebraic systems with modular differential equations, providing a new approach to solving these equations.

## Key findings

- Solutions to algebraic systems lead to solutions of modular differential equations
- Establishment of a link between algebraic and differential structures in modular forms
- Framework for generating infinite families of solutions

## Abstract

In this paper, we show how solutions to explicit algebraic systems lead to solutions to infinite families of modular differential equations.