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Relationship between second order odes and pdes

  1. Feb 26, 2010 #1
    Hello.

    I took a class on ODEs and learned about solving second order homologous equations by writing down the characteristic equation.
    http://www.sosmath.com/diffeq/second/constantcof/constantcof.html

    I am now learning about PDEs on my own and I came across parabolic, hyperbolic, and elliptical operators. Is there a relationship between the characteristic equations from the 2nd order ODEs' characteristic equations and these new PDE operators or should I think of them as two separate ideas? The resources I have come across do not relate it back to ODEs.

    Thanks.
     
  2. jcsd
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