Question

what is the "Wronskian of the set of functions"?

like in 1, e^x , e^2x

how do you find the "Wronskian" of that? and also what is "Wronskian"?

Answer 1

The Wronksi Feint of math.
(insert Harry Potter nerd joke here..)

Answer 2

ok
general formula is
which means write all the functions in the first row
then take their respective derivative in the successive rows till (n-1 derivative) when n=no of functions)
then take the Determinant of the above system

it is used to check the linear dependence of the solutions of DE .

Answer 3

http://en.wikipedia.org/wiki/Wronskian

Answer 4

i am going to find the Wronskian now.

Answer 5

nevermind...this wasnt discussed anyway so i dont think i should study it haha

Answer 6

i was just curious

Answer 7

ok.....
the Wronskian of your funcions is

Answer 8

just the the determinant of the above

just to clarify
in first row the given functions are written
second row is achieved by differentiating the first row
third row is achieved by differentiating the second row.