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6: La solución de D'Alembert a la ecuación de onda

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    113732
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    Por lo general, no es útil estudiar la solución general de una ecuación diferencial parcial. Como cualquier declaración tan arrolladora necesita ser calificada, ya que hay algunas excepciones. Una de ellas es la ecuación de onda unidimensional que tiene una solución general, debido al matemático francés d'Alembert.

    • 6.1: Antecedentes de la solución de D'Alembert
      La ecuación de onda describe ondas que se propagan con la velocidad c (la velocidad del sonido, o la luz, o lo que sea). Así, cualquier perturbación al medio unidimensional se propagará ya sea hacia la derecha o hacia la izquierda con tal velocidad.
    • 6.2: Nuevas Variables
      Para entender la solución en todos los detalles matemáticos involucrados en la solución de D'Alembert a la ecuación de onda hacemos un cambio de variables.
    • 6.3: Ejemplos
      Ahora permítanme ver dos ejemplos.


    This page titled 6: La solución de D'Alembert a la ecuación de onda is shared under a CC BY-NC-SA 2.0 license and was authored, remixed, and/or curated by Niels Walet via source content that was edited to the style and standards of the LibreTexts platform.