One Dimensional Wave Equation



The vibrations of an elastic string are governed by the partial differential equation which is known as wave equation.




The details of the derivation are - 



Solution of wave equation subject to boundary conditions and initial conditions is discussed here - 
The details are - 


The significance of solution of wave equation, normal modes, are discussed here. How the deflection function of vibrating string is expressed as superposition of two functions when initial velocity is zero, is explained with one example. 



Another two examples with solutions - 


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