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Homogeneous differential equation

  1. May 2, 2012 #1
    how am i going to determine if a higher order differential equation is homogenous? example,

    d4y/dx4+d2y/dx2=y

    d3y/dx3-d2y/dx2=0
     
  2. jcsd
  3. May 2, 2012 #2
    Homogeneous means all terms depend on y, no matter the order of the ODE. In your examples, both equations would be homogeneous. If you would add a term like 1 or f(x) it would become nonhomogeneous, i.e. y"=y is homogeneous, but y"=y+f(x) is nonhomogeneous.
     
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