# Particular difficulties appear when the systems are large, meaning millions of unknowns. This is often the case when discretizing partial differential equations

Differential equations are the language of the models we use to describe the world around us. Most phenomena require not a single differential equation, but a system of coupled differential equations. In this course, we will develop the mathematical toolset needed to understand 2x2 systems of first order linear and nonlinear differential equations.

Capable of finding both exact solutions and numerical approximations, Maple can solve ordinary differential equations (ODEs), boundary value problems (BVPs), and even differential algebraic equations (DAEs). I've been working with sympy and scipy, but can't find or figure out how to solve a system of coupled differential equations (non-linear, first-order). So is there any way to solve coupled differ Differential equations are very common in physics and mathematics. Without their calculation can not solve many problems (especially in mathematical physics). One of the stages of solutions of differential equations is integration of functions.