Wave equation: Vibrating String Proof

The video tutorial explains the wave equation in the context of a vibrating string. It begins with background information on the equation and its variables, followed by a method to solve it using assumed solutions. The tutorial discusses boundary conditions and the constant lambda, leading to expressions for q and phi. It concludes with the general solution and modes of vibration, emphasizing the infinite number of solutions and natural frequencies. The video highlights the importance of understanding these concepts in continuous systems.

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