Recent content by Arturgower

  1. A

    Delta function

    f''(x) = -2 \delta(x-1) . Discrete delta is a box with area equal to 1, with a width that depends on the size of your step.
  2. A

    D’Alembert’s reduction principle

    There are no derivatives, therefore this is not a ODE. Secondly (t^2,-t) is not a solution. Missing derivatives, and the second line should be, x_2' = x_2/t^2 + 2 x_2/t
  3. A

    Fourier transform and inverse transform

    What your coarse probably wants from you is to use the following, \delta(t - a) = \frac{1}{2\pi}\int_{-\infty}^{\infty} e^{i \omega (t -a) } d\omega. If you want a full but rather simple proof, for a graduate student with a mathematical focus, of this identity I can send it to you.