In my differential equations book (Edward and Penny) there are many examples of Laplace transforms being applied to linear differential equations with constant coefficients and no examples of them being applied to linear differential equations with variable coefficients. My question is, can this be done?(adsbygoogle = window.adsbygoogle || []).push({});

In particular, can someone take the Laplace Transform of something like

x^2 (d^2/dx^2)

If the answer is yes, can you provide me with a reference?

For the most part when the equations have variable coefficients the only methods that I have seen are series methods and substitution methods.

Thanks in advance for reading and any response.

**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!

# Laplace Transform Question

Loading...

Similar Threads - Laplace Transform Question | Date |
---|---|

Simple Laplace transform question | Mar 25, 2015 |

Laplace Transform Question | Feb 17, 2014 |

Laplace Transform question | Nov 23, 2012 |

General question about Maple's capabilities with Laplace transforms | Sep 6, 2010 |

A laplace transform question | Apr 24, 2010 |

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