MATLAB: Laplace of Constant a

Question

Hi,

I can't get Matlab to return the correct answer for a single constant. Lest say a

For example

f(t)=1

LT f(t) =1/s

However what I change 1 to a constant matlab return the incorrect answer

Why does matlab not like the constant? As the laplace inverse of 1/s^2 = t

Answer 1

You must tell the laplace function what the independent variable and transformation variable are. It has no way of knowing, otherwise.

Using your example:

syms a s t 
f1 = (a*t)/t
F1 = laplace(f1,t,s)

producing:

f1 =
a
F1 = 
a/s