2.1 Homogeneous Wave PDE in 1D on finite domain (plugged string) series solutions

  2.1.1 Both ends of string fixed, initial position zero, Fourier series solution
  2.1.2 Both ends of string fixed, initial velocity zero, Fourier series solution
  2.1.3 Both ends of string fixed, initial velocity zero, d’Alembert solution
  2.1.4 Left end fixed, right end free, initial velocity zero, Fourier series solution
  2.1.5 Left end fixed, right end free. Initial velocity zero. Damping present.
  2.1.6 Both ends fixed. Initial velocity zero. Dispersion term present.
  2.1.7 Both ends fixed. Initial velocity zero. Telegraphy PDE (dispersion and decay)