(a) Let $f(t) = \begin{cases} t, & 0 < t < 2 \\ 0, & \text{otherwise}…
Previous year question for Numerical Methods & Transform Calculus.
Question
(a) Let $f(t) = \begin{cases} t, & 0 < t < 2 \\ 0, & \text{otherwise} \end{cases}$
Then express $f(t)$ in terms of unit step function and also find its Laplace transform.
(b) Find the Laplace transform of $t^2 e^{-2t} \cos t$.
(c) Find the Fourier sine transform of $f(x) = \frac{e^{-ax}}{x}$.
- Year: 2022
- Subject: Numerical Methods & Transform Calculus