Solutions about Singular and Ordinary points

1. May 26, 2014

Mathmanman

Do you need to know power series solutions to learn laplace transforms? It is because I am having trouble learning solutions about singular and ordinary points. If yes, then I'll come back to solutions about singular and ordinary points.

2. May 26, 2014

SteamKing

Staff Emeritus
No. Laplace transforms are a type of integral transform which can be used to solve certain types of differential equations. They do not involve power series.

http://en.wikipedia.org/wiki/Laplace_transform

LTs can be used to solve linear ODEs with constant coefficients and some with non-constant coefficients. The latter type of ODE can still be difficult to solve, even with power series.

http://tutorial.math.lamar.edu/Classes/DE/IVPWithNonConstantCoefficient.aspx

3. May 26, 2014

lurflurf

^No, not really.

4. May 27, 2014

-SJ-

The only thing which sometimes makes calculations with Laplace transform more complicated are residues in inverse Laplace transform. But couple of examples usually fix this issue.