Question

in laplace transform unit step function is 1/s it is more complicated than 1. please help me

Answer 1

This makes no sense.

Answer 2

\[\mathcal{U}(t-a)\stackrel{\mathcal{L}}{\longrightarrow}\frac{e^{-as}}{s}.\]Is this what you're referring to?

Answer 3

a function is attached with e^-st and integrate zero to infinity , we can use any letter insted of s what is the significance of s

Answer 4

the Laplace transform of unit step \( \theta(t-0) \) is 1so ??

Answer 5

s is just a variable.....

Answer 6

*1/s

Answer 7

try this
\[ \int_0^{\infty} \theta(t) e^{-st} dt\]
this is same as Laplace transform of unit value because laplace transform naturally chops off any information that is before the time t=0.

Answer 8

the step function \( \theta(t-0)\) naturally chops off into that is at <t=0 ... so it would be same.