Solutions about Singular and Ordinary points

[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.

 

[SteamKing]

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.

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

 

[lurflurf]

^No, not really.

 

[-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.