- #1
Mutatis
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Find the wave equation U(x,t) of a vibrating string with linear density d, tension p, initial velocity zero, weight L and initial displacement
U0(x) = a1*sin(2*pi*x/L)+a2*sin(4*pi*x/L).
Guys, please help me with this task. I did the following procedure:
The U(x,t) solution must me a sum of sine and cosine functions, like
ΣBn*cos(n*pi*a*t/L)*sin(n*pi*x/L).
Then Bn is found with Bn=∫U0(x)*sin(n*pi*x/L)dx. I'm a little lost with all these substitiution that leads me to big integrals with no solution.
U0(x) = a1*sin(2*pi*x/L)+a2*sin(4*pi*x/L).
Guys, please help me with this task. I did the following procedure:
The U(x,t) solution must me a sum of sine and cosine functions, like
ΣBn*cos(n*pi*a*t/L)*sin(n*pi*x/L).
Then Bn is found with Bn=∫U0(x)*sin(n*pi*x/L)dx. I'm a little lost with all these substitiution that leads me to big integrals with no solution.