Hello,(adsbygoogle = window.adsbygoogle || []).push({});

How does the change of variables ## \alpha = x + at , \quad \beta = x - at ## change the differential equation

$$ a^2 \frac{ \partial ^2 y}{ \partial x^2 } = \frac{ \partial ^2 y} {\partial t ^2} $$

to

$$ \frac{ \partial ^2 y}{\partial \alpha \partial \beta } = 0$$

? I'm having a hard time following the proofs on wolfram alpha, etc

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# D'Alembert's Solution to wave equation

Loading...

Similar Threads - D'Alembert's Solution wave | Date |
---|---|

D'Alembert solution of wave equation with initial velocity given | Oct 21, 2012 |

Intuitively d'Alembert's solution to 1D wave equation | Oct 10, 2011 |

D'alembert solution Help (easy) | May 14, 2010 |

Velocity in D'Alembert solution is the same as virtical velocity? | Apr 21, 2010 |

Question regarding D'Alembert solution for one dimension wave equation | Feb 13, 2010 |

**Physics Forums - The Fusion of Science and Community**