# Third order euler cauchy

Printable View

• Jul 5th 2008, 06:21 AM
bsbooker
Third order euler cauchy
How do you find a general solution to a third order euler cauchy equation?

I am at 0=(X^a)(x-1)^3, but I am stuck.

Thanks, Ben
• Jul 5th 2008, 07:19 AM
mr fantastic
Quote:

Originally Posted by bsbooker
How do you find a general solution to a third order euler cauchy equation?

I am at 0=(X^a)(x-1)^3, but I am stuck.

Thanks, Ben

You start off by assuming a trial solution of the form $y = x^m$.

Post the equation your working on because there are several different cases depending on the values of m that you get ......

Read this: http://www.math.vanderbilt.edu/~sche...s/CAUCHEUL.pdf
• Jul 5th 2008, 11:48 AM
bsbooker
great explanation
That is excellent!

Thanks