![SOLVED: Using the Fourier transform, solve the one-dimensional wave equation 02u 02u = 1 < C t > 0, 0t2 Ox2 satisfying the following conditions: du u(w,0) = f(x); =0 dt t=0 SOLVED: Using the Fourier transform, solve the one-dimensional wave equation 02u 02u = 1 < C t > 0, 0t2 Ox2 satisfying the following conditions: du u(w,0) = f(x); =0 dt t=0](https://cdn.numerade.com/ask_images/03a1588319724343a6949aa8bacec3dc.jpg)
SOLVED: Using the Fourier transform, solve the one-dimensional wave equation 02u 02u = 1 < C t > 0, 0t2 Ox2 satisfying the following conditions: du u(w,0) = f(x); =0 dt t=0
![I wanted to calculate the Fourier transform of sin(at) and ended up that it's indeterminate. Wolfram Alpha says tho that the answer has to do with the Dirac delta function. Where did I wanted to calculate the Fourier transform of sin(at) and ended up that it's indeterminate. Wolfram Alpha says tho that the answer has to do with the Dirac delta function. Where did](https://preview.redd.it/qimpj3v538o41.jpg?auto=webp&s=8a34f51b56d1aa485a21c2bba40a877f38a1f2cf)
I wanted to calculate the Fourier transform of sin(at) and ended up that it's indeterminate. Wolfram Alpha says tho that the answer has to do with the Dirac delta function. Where did
![complex analysis - Applying the residue theorem to calculate the Fourier transform of $\frac{1}{(x-\tau)^k}$ - Mathematics Stack Exchange complex analysis - Applying the residue theorem to calculate the Fourier transform of $\frac{1}{(x-\tau)^k}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/QXjCG.png)
complex analysis - Applying the residue theorem to calculate the Fourier transform of $\frac{1}{(x-\tau)^k}$ - Mathematics Stack Exchange
![continuous signals - What is The Fourier Transform Formula for 1/(j*pi*t) Types? - Signal Processing Stack Exchange continuous signals - What is The Fourier Transform Formula for 1/(j*pi*t) Types? - Signal Processing Stack Exchange](https://i.stack.imgur.com/AWgUS.png)