Wave Equation—1-Dimensional

Author

Eric W. Weisstein
April 30, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/DifferentialEquations/WaveEquation1-Dimensional.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/WaveEquation1-Dimensional.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

General Solution

Simplify[DSolve[D[ψ[x,t],{x,2}]==(1/(v^(2 ))) D[ψ[x,t],{t,2}],ψ[x,t],{x,t}],v>0]