Maple General question about Maple's capabilities with Laplace transforms

Click For Summary
The discussion centers on the limitations of Maple in computing the inverse Laplace transform of a specific function, \mathcal{L}^{-1}\left[\frac{e^{-kds/v}}{(s+1)^2}\right], which can be solved by hand and with WolframAlpha. Users question whether Maple's inability to solve this transform is due to a lack of necessary toolsets or inherent limitations in its computational capabilities. It is noted that Maple relies on a database of known transforms rather than brute force computation, leading to speculation that its database may not be as comprehensive as WolframAlpha's. Additionally, it is suggested that specifying the positivity of constants in the function may influence Maple's ability to compute the inverse transform successfully.
joriarty
Messages
61
Reaction score
0
Working through a recent assignment, I've been dealing with an inverse laplace transform \mathcal{L}^{-1}\left[\frac{e^{-kds/v}}{(s+1)^2}\right] that Maple can't solve, yet I can do this by hand and WolframAlpha will solve it too.

Should Maple be able to solve this (perhaps it requires extra toolsets other than just with(inttrans)), or is it just beyond Maple's capabilities to compute the inverse Laplace transform of some equations, even though it exists? As I understand it Maple uses a large database of transforms rather than computing the answer by brute force, though I would have thought Maple would have a more comprehensive database than a free online program like WolframAlpha.
 
Physics news on Phys.org
If you enter assume(a>0); and

f:=\frac{e^{-a s}}{(s+1)^2}

then invlaplace(f,s,t); works. It may be that you need to tell Maple the constants that make up a are all positive.
 

Similar threads

Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
11K
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
10K
  • · Replies 1 ·
Replies
1
Views
10K