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For a book i'm writing, i try to write a very very very detail proof of self-buckling.

I did it almost by taking inspiration of:

https://en.wikipedia.org/wiki/Self-buckling

But i really really don't get how we arrive to, that when, [tex]x=0[/tex] as we obviously must have:

[tex]\dfrac{\mathrm{d}^2 x}{\mathrm{d}x^2}(x=0)=0[/tex]

that [tex]A=0[/tex]??? This last point i don't get it. I must do a stupid error using Bessel functions properties but since 3 weeks i'm trying and i fail.... Any help would be greatly appreciated.

Thx

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# Self Buckling Initial conditions

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