Question

Determine a transformada de Laplace da função : f(t)=0, para t<0;f(t)=7, para t>0.

Answer 1

$f(t)=7*\mu(t)$

$F(s)=\int\limits_{0}^{\infty}7\mu(t)e^{-s*t}~dt$

$F(s)=7\int\limits_{0}^{\infty}e^{-s*t}~dt$

$\boxed{\boxed{F(s)=\frac{7}{s}}}$

Answer 2

f(t)=7*\mu(t)

F(s)=\int\limits_{0}^{\infty}7\mu(t)e^{-s*t}~dt

F(s)=7\int\limits_{0}^{\infty}e^{-s*t}~dt

\boxed{\boxed{F(s)=\frac{7}{s}}}