For the general solution of the 'incomplete' DE...

(1)

... try functions like .For the particular solution of the 'complete' DE...

(2)

... try a function like ...

Kind regards

Results 1 to 3 of 3

- April 4th 2010, 04:30 AM #1

- Joined
- Mar 2010
- Posts
- 122

- April 4th 2010, 05:59 AM #2

- April 4th 2010, 08:01 AM #3

- Joined
- Apr 2005
- Posts
- 17,730
- Thanks
- 2271

This is an "Euler-type" or "equipotential" equation. As chisigma said, you can try a solution of the form to get the "characteristic equation".

It is also true that the substitution t= ln(x) converts an "Euler-type" equation into an equation with constant coefficients having the same characteristic equation.