Current Events > How do I find the eigenfunctions for y"+ky=0 ?

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FLOUR
02/07/20 9:34:44 PM
#1:


Subject to y(pi)=0 and y(-pi)=0. I notice when k is negative or zero only yields the trivial solution, but the positive case is puzzling me.

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teepan95
02/07/20 11:08:24 PM
#2:


y" + ky = 0

y" = -ky

What function(s) return the same function (up to a negative constant) when they're differentiated twice?
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Odoylerules
02/07/20 11:12:03 PM
#3:


this topic reminds me how terrible I am at math

but I'm glad some of your are or we wouldnt have cool shit
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FLOUR
02/08/20 12:34:31 AM
#4:


teepan95 posted...

What function(s) return the same function (up to a negative constant) when they're differentiated twice?

That's the easy part. What I'm having trouble with is applying the boundary conditions.

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Garioshi
02/08/20 12:38:58 AM
#5:


FLOUR posted...
That's the easy part. What I'm having trouble with is applying the boundary conditions.
y( ) = 0. What function is 0 at ?

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FLOUR
02/08/20 12:41:48 AM
#6:


Garioshi posted...
y( ) = 0. What function is 0 at ?

That's obviously what I'm having trouble with.

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teepan95
02/08/20 8:07:54 AM
#9:


FLOUR posted...
teepan95 posted...

What function(s) return the same function (up to a negative constant) when they're differentiated twice?

That's the easy part. What I'm having trouble with is applying the boundary conditions.

What function are you getting (before applying the boundary conditions)?
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Baby, I'm an engineer ;)
I can calculate (within a reasonable margin of error) how this nut is gonna splash when it hits ya tiddies
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