Basic Examples (2)
Basic Examples
(2)
The expression of this example has a known symbolic Laplace inverse:
In[96]:=
Out[96]=
1.27511
We can compare the result with the answer from the symbolic evaluation:
In[97]:=
InverseLaplaceTransform[Exp[1-s^(1/2)]s^(-3/4),s,t]
Out[97]=
1-
1
8t
1
4
1
8t
2
πt
In[98]:=
%/.{t3.7}
Out[98]=
1.27511
———
This expression cannot be inverted symbolically, only numerically:
In[99]:=
expr2=((-1.+100.*s)*Sinh[0.5*Sqrt[s]])/(s*(Sqrt[s]*Cosh[Sqrt[s]]+s*Sinh[Sqrt[s]]));[expr2,s,0.2727]
Out[100]=
30.658
Scope (2)
Scope
(2)
Options (3)
Options
(3)
Applications (2)
Applications
(2)
Possible Issues (4)
Possible Issues
(4)
Neat Examples (4)
Neat Examples
(4)