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Solve ODEs analytically, test solutions

`ode::exponentialSolutions` | Exponential solutions of a homogeneous linear ordinary differential equation |

`ode::polynomialSolutions` | Polynomial solutions of a homogeneous linear ordinary differential equation |

`ode::rationalSolutions` | Rational solutions of a homogeneous linear ordinary differential equation |

`ode::series` | Series solutions of an ordinary differential equation |

`ode::solve` | Solving ordinary differential equations |

`ode` | Domain of ordinary differential equations |

`ode::companionSystem` | Companion matrix of a linear homogeneous ordinary differential equation |

`ode::cyclicVector` | Transforms a linear differential system to an equivalent linear differential system with a companion matrix. |

`ode::dAlembert` | D'Alembert reduction of a linear homogeneous ordinary differential equation |

`ode::evalOde` | Applies an expression at a linear ordinary differential equation |

`ode::exponents` | Exponents of a linear ordinary differential equation |

`ode::getOrder` | Order of an ordinary differential equation |

`ode::indicialEquation` | Indicial equation of a linear ordinary differential equation |

`ode::isFuchsian` | Tests if a homogeneous linear ordinary differential equation is of Fuchsian type |

`ode::isLODE` | Test for a linear ordinary differential equation |

`ode::mkODE` | Builds a linear homogeneous ordinary differential equation from a list of coefficient functions |

`ode::normalize` | Normalized form of a linear ordinary differential equation |

`ode::ratSys` | Rational solutions of a first order homogeneous linear differential system |

`ode::scalarEquation` | Transforms a linear differential system to an equivalent scalar linear differential equation |

`ode::symmetricPower` | Symmetric power of a homogeneous linear ordinary differential equation |

`ode::unimodular` | Unimodular transformation of a linear ordinary differential equation |

`ode::vectorize` | Coefficients of a homogeneous linear ODE |

`ode::wronskian` | Wronskian of functions or of a linear homogeneous ordinary differential equation |

The general solvers (

**Solve Ordinary Differential Equations and Systems**

An ordinary differential equation (ODE) contains derivatives of dependent variables with respect to the only independent variable.

Suppose you want to verify the solutions of this polynomial equation:

**If Results Look Too Complicated**

By default, the MuPAD^{®} solvers return all possible solutions regardless of their length.

**If Results Differ from Expected**

Symbolic solutions can be returned in different, but mathematically equivalent forms.

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