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

[david sh]

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?

 

[vela]

You haven't given an equation. (Note the lack of an equal sign in your post.) Please type the problem exactly as given.

 

[david sh]

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,...

 

[vela]

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