Question

This is a GRADED problem; you have TWO tries for each part. Equations may be more readable if printed first. Find the eigenvalue of the operator [ (A)1-[(d)/(dx )1 acting on the functionx)-3 cos( 5 x )+3 i sin( 5 x) Submit Answer Tries 0/2 Find the eigenvalue of the operator [^ (A)]--i [(d )/(d)] acting on the function 4 ei 9 x Submit Answer Tries 0/2

Answer 1

1.

$-i\frac {d}{dx}f(x)=-i\frac {d}{dx}[3\cos (5x)+3i\sin (5x)]=-i[-15\sin(5x)+15i\cos (5x) ]$

$-i\frac {d}{dx}f(x)=5f(x)$

$EV=5$

2.

$-i\frac {d}{dx}f(x)=-i\frac {d}{dx}4e^{i9x}=9f(x)$

$EV=9$