Angular frequency: ω=2πf= π

Equation of particle vibration with x=0: y0 = asin (π t+φ)

Particle velocity with x=0: v0 = π acos (π t+φ).

When t=0, y0 = 0v0.

That is, the vibration equation Y0 of the wave source = Asin (π t-π).

So the wave equation: y = asin [π (t-x/v)-π] = 0.1sin [π (t-x)-π].