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zonedestruct
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Consider a string of length 5 which is fixed at its ends at x = 0 and x = 5. The speed of waves along the string is v = 2 and the displacement of points on a string is defined by the function f(x,t). At the initial time the string is pulled into the shape of a triangle, defined by
f(x,0) = x for 0 <= x < 1
f(x,0) = 5/4 - x/4 for 1 <= x <= 5
and then released from rest.
a. What are the 2 initial conditions for this problem?
b. What are the 2 boundary conditions for this problem?
c. Use the method of separation of variables and Fourier methods to find an equation for how the shape of the string changes with time.
How do I do this question, please somebody help me I'm terribly lost its depressing :(
f(x,0) = x for 0 <= x < 1
f(x,0) = 5/4 - x/4 for 1 <= x <= 5
and then released from rest.
a. What are the 2 initial conditions for this problem?
b. What are the 2 boundary conditions for this problem?
c. Use the method of separation of variables and Fourier methods to find an equation for how the shape of the string changes with time.
How do I do this question, please somebody help me I'm terribly lost its depressing :(