D’Alembert’s Formula @drpeyam
D’Alembert’s Formula  @drpeyam
Uploaded February 2025 | Updated September 2026, 1 week ago
D’Alembert’s Formula

We derive the celebrated D'Alembert's formula, which gives the solution of the wave equation with initial conditions. It is based on first finding the general solution using the factoring or coordinate methods and then plugging in the initial conditions, as well as integrating and using the fundamental theorem of calculus. This is a must see for partial differential equations lovers, enjoy!

Factoring Method: youtu.be/sgHBfy-yMqA
Coordinate Method: youtu.be/uF1rENPC3JI

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D’Alembert’s Formula

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