Question

how to take the derivative of laplace transforms? like how to take the derivative of \[\mathcal L \{\sin kt\}\]

Answer 1

L{sinkt} = k/s^2+k^2

Answer 2

\[\frac d {ds} \int_0 ^{\infty} f(t) e^{-st}dt=\int_0 ^{\infty} -t\times f(t) e^{-st}dt=L[-t f(t)] \]

Answer 3

http://math.uci.edu/~yuno1123/courses/math3d_note12.pdf

Answer 4

u can go thru dat link

Answer 5

yes i know what L {sin kt{ transforms to but i need to know how to derive it

Answer 6

@lgbasallote you want to know how to derive L(sin kt)?