IPython Interactive Computing and Visualization Cookbook - Second Edition

Solving equations and inequalities

SymPy offers several ways to solve linear and nonlinear equations and systems of equations. Of course, these functions do not always succeed in finding closed-form exact solutions. In this case, we can fall back to numerical solvers and obtain approximate solutions.

How to do it...

1. Let's define a few symbols:

   >>> from sympy import *
       init_printing()
   >>> var('x y z a')

   
2. We use the solve() function to solve equations (the right-hand side is 0 by default):

   >>> solve(x**2 - a, x)

   
3. We can also solve inequalities. Here, we need ...