General question about Maple's capabilities with Laplace transforms

Click For Summary
SUMMARY

Maple's capabilities for computing inverse Laplace transforms are limited compared to WolframAlpha, particularly for specific equations like \mathcal{L}^{-1}\left[\frac{e^{-kds/v}}{(s+1)^2}\right]. While Maple utilizes a database of transforms, it may not cover all cases, necessitating additional toolsets or assumptions. Users can enhance Maple's performance by specifying conditions, such as assuming constants are positive with the command assume(a>0); before applying the invlaplace function.

PREREQUISITES
  • Familiarity with Laplace transforms and their properties
  • Basic knowledge of Maple software and its syntax
  • Understanding of the invlaplace function in Maple
  • Experience with mathematical assumptions in computational tools
NEXT STEPS
  • Explore advanced features of Maple for Laplace transforms
  • Learn about the assume function in Maple for setting conditions
  • Investigate WolframAlpha's capabilities for solving Laplace transforms
  • Study the limitations of symbolic computation in software like Maple
USEFUL FOR

Mathematicians, engineering students, and anyone utilizing Maple for solving Laplace transforms will benefit from this discussion.

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