If for example, I have.(adsbygoogle = window.adsbygoogle || []).push({});

Y1=Cos(2Ln(x)) and Y2=Sin(2Ln(x)) and I have to reach the general solution.

I know how to get to the general solution is the cauchy equation:

y'' X^n + y' x + 4 y = 0

According to the answer, n=2 => y'' X^2 + y' x + 4 y = 0

How am I to know that that it is X^2 ?

Or is it always X^2 in a Euler Cauchy equation?

Thanks in advance.

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Bases of solutions

Loading...

Similar Threads - Bases solutions | Date |
---|---|

I How to find a solution to this linear ODE? | Feb 21, 2018 |

I Base excitation of undamped Spring-mass system | Oct 27, 2016 |

A Computing first derivative based on second derivative | Oct 19, 2016 |

Using the D operator technique to solve a trig based DE | Aug 4, 2012 |

Need feedback if this is possible (first order removal based model) | Sep 21, 2011 |

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