Question

please Can anyone give me two different function that have the same laplace transform???

Answer 1

\[y_1(x)=x\qquad,\qquad y_2(w)=|w|\]
\[\mathcal L [y_1(x)]=\frac{1}{s^2}\qquad,\qquad\mathcal L [y_2(w)]=\frac{1}{s^2}\]

Answer 2

i want two different function not with variable

Answer 3

well if the function is x or the absolute value of x
the Laplace transform of the function is the same

Answer 4

also laplace deals with future only t>0

Answer 5

that was the point i was attempting to make

Answer 6

i am now reading that laplace is unique