I want to verify my understanding of D'Alembert equation. Please let me know my statements are correct or not.
D'Alembert equation:
1) represent wave propagate right and left on the x-axis with velocity of c.
2) g(x) is velocity along y-axis, not in direction of x-axis. g(x) DO NOT affect the propagation velocity c. g(x) only affect the shape of the wave while propagating along x-axis.