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Solutions about Singular and Ordinary points

  1. May 26, 2014 #1
    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. jcsd
  3. May 26, 2014 #2

    SteamKing

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    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
     
  4. May 26, 2014 #3

    lurflurf

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    ^No, not really.
     
  5. May 27, 2014 #4
    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.
     
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