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gerryliyana Group Title

Second Order Differential Equations

  • one year ago
  • one year ago

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  1. gerryliyana Group Title
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    \[y'' + \frac{ 1 }{ x }y'+ \left( 1-\frac{ n^{2} }{ x^{2} } \right)y = 0\] how much the solution zero-order of the Bessel equations above at (n=0) in between intervals of π along the positive x axis"????

    • one year ago
  2. kryton1212 Group Title
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    @ajprincess would you kindly help my brother if you are free....

    • one year ago
  3. ajprincess Group Title
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    I am extremely sorry @kryton1212.:( I havnt learnt differential equations yet.

    • one year ago
  4. kryton1212 Group Title
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    @ajprincess okay....never mind, me either...so can you tell your friends about this question of they learnt it? @gerryliyana sorry...

    • one year ago
  5. kryton1212 Group Title
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    if they learnt it *

    • one year ago
  6. ajprincess Group Title
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    @hartnn, @experimentX, @unklerhaukus, @apoorvk. Can u all plz help with this question?

    • one year ago
  7. kryton1212 Group Title
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    hartnn is not online yet...

    • one year ago
  8. ajprincess Group Title
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    But @unklerhaukus and @apoorvk are online. They may be able to help.:)

    • one year ago
  9. kryton1212 Group Title
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    thank you @ajprincess :)

    • one year ago
  10. ajprincess Group Title
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    Welcome:)

    • one year ago
  11. kryton1212 Group Title
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    @gerryliyana don't worry about it. Someone may help you :) sorry that I cannot help you...

    • one year ago
  12. UnkleRhaukus Group Title
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    can you reword the question, im not sure what you are asking

    • one year ago
  13. kryton1212 Group Title
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    @sauravshakya would you kindly help my brother if you are free?

    • one year ago
  14. gerryliyana Group Title
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    @UnkleRhaukus " how much the minimum solution of the equations above (at n=0) in between intervals of π along the positive x axis????"

    • one year ago
  15. UnkleRhaukus Group Title
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    i dont know what you mean by "how much the ..... solution?" are you looking for the number of solutions? are you looking for the solution? are you looking for the value of the function at one of the solutions?

    • one year ago
  16. gerryliyana Group Title
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    i'm looking for the least number of solutions..,

    • one year ago
  17. gerryliyana Group Title
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    the minimum number of solutions

    • one year ago
  18. UnkleRhaukus Group Title
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    ah ok.

    • one year ago
  19. experimentX Group Title
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    write it up as \[ x^2 y'' + xy' + (x^2-n^2)y = 0 \] this is a standard non liner differential equation called Bessel differential equation http://en.wikipedia.org/wiki/Bessel_function http://mathworld.wolfram.com/BesselDifferentialEquation.html use power series method to find it's solution

    • one year ago
  20. robtobey Group Title
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    Even though I'm 78 years old and cannot integrate x with pencil and paper, I've access to the computer program, Mathematica 8 Home Editon. that can. The attachment shows the general solution with two constants of integration. A plot of the solution from x = 0 through x = 6 Pi is included.

    • one year ago
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