Problem #1 :
Using separation of variables and the formalism demonstrated inclass, find the general solution to the Helmholtz equation (alsoknown as the time independent wave equation) :
?^2 F + k^2 F = 0
Assume that k is a real number. For clarification, the generalsolution is the solution in the case where boundary conditions arenot specified.
Problem #2 :
Express the following functions as an infinite Fourier sineseries using sin(n?x/a)
a)f(x) = x
b)f(x) = e^x
c)f(x) = cos(x)
