fourier seies

[moonta33]

1. solve the wave equation c^2 uxx = utt for t ≥ 0 , x all real numbers. Take c = 1 , take initial conditions
   
   u(x , 0) = sin x and ut(x , 0) = cos x ?

 

[Deleted member 4993]

1. solve the wave equation c^2 uxx = utt for t ≥ 0 , x all real numbers. Take c = 1 , take initial conditions
   
   u(x , 0) = sin x and ut(x , 0) = cos x ?

Can you please tell us what would a Fourier Series expansion of a general function, look like?

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