solvers.rst

Solvers

sympy.solvers

The solvers module in SymPy implements methods for solving equations.

Algebraic equations

Use solve to solve algebraic equations. We suppose all equations are equaled to 0, so solving x**2 == 1 translates into the following code:

>>> from sympy.solvers import solve
>>> from sympy import Symbol
>>> x = Symbol('x')
>>> solve(x**2 - 1, x)
[-1, 1]

The first argument for solve is an equation (equaled to zero) and the second argument is the symbol that we want to solve the equation for.

sympy.solvers.solvers.solve

sympy.solvers.solvers.solve_linear

sympy.solvers.solvers.solve_linear_system

sympy.solvers.solvers.solve_linear_system_LU

sympy.solvers.solvers.solve_undetermined_coeffs

sympy.solvers.solvers.tsolve

sympy.solvers.solvers.nsolve

sympy.solvers.solvers.check_assumptions

sympy.solvers.solvers.checksol

Ordinary Differential equations (ODEs)

See ode-docs.

Partial Differential Equations (PDEs)

sympy.solvers.pde.pde_separate

sympy.solvers.pde.pde_separate_add

sympy.solvers.pde.pde_separate_mul

Recurrence Equtions

sympy.solvers.recurr.rsolve

sympy.solvers.recurr.rsolve_poly

sympy.solvers.recurr.rsolve_ratio

sympy.solvers.recurr.rsolve_hyper

Systems of Polynomial Equations

sympy.solvers.polysys.solve_poly_system

sympy.solvers.polysys.solve_triangulated