- #1
chris_0101
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Homework Statement
Basically, the title says it all, I need to figure out whether these functions are linearly independtend on (-infinity, infinity)
Homework Equations
Wronskian (the determinant of the matrix composed of the functions in the first row, first derivative in the second row and second derivatives in the third row)
The Attempt at a Solution
After computing the Wronskian this is what I got:
[(-e^-x)(-cosx)] + [(xe^-x)(-sinx)] - [(x)(-e^-x)(cosx)] - [(e^-x)(cosx)]
however, I cannot seem to simply this. If anyone can help me simplify this further that would be great. Also if you help me determine if whether they are linearly independent.
Thanks