How i find eigen function and eigen value from equation or either

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This my data:
1.e^λx
2.e^iβx
3.sinαx
4.sin^2αx
5.cosαx
x^2

How i find eigen value and eigen function from equation above?
 
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You haven't given an equation. (Note the lack of an equal sign in your post.) Please type the problem exactly as given.
 
vela said:
You haven't given an equation. (Note the lack of an equal sign in your post.) Please type the problem exactly as given.


number 1-6 is my equation,...
 
None of those is an equation. To have an equation, you must have something equal to something else. You don't have that.
 

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