Partial Differential Equations · Calculus
The Wave Equation
D’Alembert’s formula gives the wave equation solution as superposition of right- and left-traveling waves. Boundary conditions select the harmonics.
WHAT STUDENTS WILL LEARN
✓Derive the wave equation for a vibrating string
✓Solve using d’Alembert’s formula
✓Solve on a finite interval using separation of variables
✓Analyze standing waves and harmonics
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