Homogeneous PDE & BC. See attached file for full problem description.
Fourier Sine, Cosine Series 3 Problems
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See attached file for full problem description.
Complex Fourier Series. See attached file for full problem description.
Wave Equation. See attached file for full problem description.
For the (i) I have I used the duality of Fourier transform. but I am having trouble. for (ii) I think I can use xf(X) <---> iF'(x) by multiplying x on the result of (i). but you see the on the bottom has ( x^2+a^2)^2, I have no idea how i can transform it. You don't have to worry about (iii)
See attached file for full problem description.
Wave Equation. See attached file for full problem description.
Wave Equation. See attached file for full problem description.
Wave Equation. See attached file for full problem description.