| Partial differential equation Summary |

| | Partial **differentiation** involves a process by which the derivatives of a function containing multiple independent variables are found by considering all but the variable of interest as fixed during **differentiation**. |

| | Partial **differential** equations are used to formulate and solve problems that involve unknown functions of several variables, such as the propagation of sound or heat, electrostatics, electrodynamics, fluid flow, elasticity, or more generally any process that is distributed in space, or distributed in space and time. |

| | Although the issue of the existence and uniqueness of solutions of ordinary **differential** equations has a very satisfactory answer with the Picard-LindelĂ¶f theorem, that is far from the case for partial **differential** equations. |

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