Boundary Conditions for Wave Solution
Classical Mechanics
Level
3
Given an arbitrary harmonic solution to the wave equation
\[y(x,t) = A \sin (x-vt) + B \sin (x+vt),\]
find the general solution, i.e. find the coefficients \(A\) and \(B\) given the following boundary conditions:
\[y(0,t) = 0, \qquad y(L,0) = 1.\]
by
Matt DeCross