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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`

for
symbolic solutions and `numeric::solve`

for numeric approximations) handle a wide variety of equations, inequalities, and systems.

**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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