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Solving 2nd order inhomogeneous equation

  1. Jan 29, 2007 #1
    Let's say that I solve a inhomogeneous differential equation of
    the type d2y/dx2+k*dy/dx = g (k and g being constants)
    ..and I get the complementary function: y = A + Be^-kx
    What would the suggested form of the particular solution be? "Cx" ?
     
  2. jcsd
  3. Jan 29, 2007 #2

    HallsofIvy

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    Yes. In general, if what you would otherwise use as a complentary function already satisfies the homogeneous equation, multiply by x.
    (And if THAT also satisfies the homogeneous equation, multiply by x again!)
     
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