Need Help with an Asymptotic Solution for a Differential Equation

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The discussion focuses on seeking help for an asymptotic solution to the differential equation 3/2y(x) + xy'(x) + y'''(x) = 0 as x approaches infinity. The poster references previous work by Hershenov and Pfeiffer, who provided asymptotic solutions for more general equations, but they are unable to access these articles. Additionally, they mention that the equation y''' - 4xy' - 2y = 0 is a generalized Airy's equation, which has well-studied solutions, but this is not what they are looking for. The poster requests advice and assistance in locating the referenced articles. Overall, the thread emphasizes the need for guidance on asymptotic solutions in differential equations.
anton
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Hi community :P

Need some help with a differential Equation:

3/2y(x)+xy'(x)+y'''(x)=0

actually I'm looking for an asymptotic solution, when x -> infinity.

I made some research about that Eq. and here what i have found:

1 guy found an asymptotic sol. for a more general eq.:

Hershenov, J. Solutions of the differential equation y''' +axy'+by = 0. Stud. Appl. Math. 55 (1976), 301-314.

other guy found a solution of a more general eq:

Pfeiffer, G. W. Asymptotic solutions of y"'+q(x)y'+r(x)y=0. J. Differential Equations 11 (1972), 145-155.

but unfortunaly i can't find any of those articles.

and the last thing which i know:

the eq. y'''-4xy'-2y=0 is a generaliaed Airy's eq. whose solutions are well studied...but its not a thing I am looking for...

any advice is very appreciated.
and if some one could find one of those articles i'll appreciate that VERY MUCH!

Thx for your concideration.

PS: Sorry my bad english.
 
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sry... mistake with the right forum for the thread.
Move it please to Diff. Eq. forum.
thx
 
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