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Please help with this ode

  1. Oct 18, 2011 #1
    Hi friends,

    I have been trying to solve the ode of second degree below:

    d2y/dz2=(i/a*z+b)*y

    i is the complex i, a and b are constants

    i ended up with the summation of bessel functions of first end second kind. Then I checked with matlab ode solver it gives no explicit solution. please help me.

    Thank you so much!
     
  2. jcsd
  3. Oct 18, 2011 #2

    HallsofIvy

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    First, your problem is not well written. 1/a*z+b could be interpreted as (1/a)z+ b, or as [1/(az)]+ b, or as 1/(az+ b).
     
  4. Oct 18, 2011 #3
    sorry about that

    it is:

    d2y/dz2=i*y/(a*z+b)

    i is complex i not a symbol

    i am also looking for a solution for this wrt z:

    d2y/dz2=i*y/(a*z^3+b*z^2+c*z+d)

    thank you!
     
  5. Oct 18, 2011 #4
  6. Oct 18, 2011 #5
    thank you so much. i hope i can find a solution to the equation with 3rd degree polynomial.
     
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