1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    User Avatar
    Science Advisor

    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!)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook