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gerryliyana
 3 years ago
Second Order Differential Equations
gerryliyana
 3 years ago
Second Order Differential Equations

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gerryliyana
 3 years ago
Best ResponseYou've already chosen the best response.0\[y'' + \frac{ 1 }{ x }y'+ \left( 1\frac{ n^{2} }{ x^{2} } \right)y = 0\] how much the solution zeroorder of the Bessel equations above at (n=0) in between intervals of π along the positive x axis"????

kryton1212
 3 years ago
Best ResponseYou've already chosen the best response.0@ajprincess would you kindly help my brother if you are free....

ajprincess
 3 years ago
Best ResponseYou've already chosen the best response.0I am extremely sorry @kryton1212.:( I havnt learnt differential equations yet.

kryton1212
 3 years ago
Best ResponseYou've already chosen the best response.0@ajprincess okay....never mind, me either...so can you tell your friends about this question of they learnt it? @gerryliyana sorry...

ajprincess
 3 years ago
Best ResponseYou've already chosen the best response.0@hartnn, @experimentX, @unklerhaukus, @apoorvk. Can u all plz help with this question?

kryton1212
 3 years ago
Best ResponseYou've already chosen the best response.0hartnn is not online yet...

ajprincess
 3 years ago
Best ResponseYou've already chosen the best response.0But @unklerhaukus and @apoorvk are online. They may be able to help.:)

kryton1212
 3 years ago
Best ResponseYou've already chosen the best response.0thank you @ajprincess :)

kryton1212
 3 years ago
Best ResponseYou've already chosen the best response.0@gerryliyana don't worry about it. Someone may help you :) sorry that I cannot help you...

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0can you reword the question, im not sure what you are asking

kryton1212
 3 years ago
Best ResponseYou've already chosen the best response.0@sauravshakya would you kindly help my brother if you are free?

gerryliyana
 3 years ago
Best ResponseYou've already chosen the best response.0@UnkleRhaukus " how much the minimum solution of the equations above (at n=0) in between intervals of π along the positive x axis????"

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0i 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?

gerryliyana
 3 years ago
Best ResponseYou've already chosen the best response.0i'm looking for the least number of solutions..,

gerryliyana
 3 years ago
Best ResponseYou've already chosen the best response.0the minimum number of solutions

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.0write it up as \[ x^2 y'' + xy' + (x^2n^2)y = 0 \] 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

robtobey
 3 years ago
Best ResponseYou've already chosen the best response.0Even 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.
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