General question about Maple's capabilities with Laplace transforms

In summary, the conversation discusses the difficulties the speaker has encountered with Maple's ability to solve an inverse Laplace transform. They question whether Maple has the necessary tools to solve it or if it is beyond its capabilities. They also mention that WolframAlpha, a free online program, can solve it and suggest using the command "assume(a>0);" to help Maple solve the equation.
  • #1
joriarty
62
0
Working through a recent assignment, I've been dealing with an inverse laplace transform [tex]\mathcal{L}^{-1}\left[\frac{e^{-kds/v}}{(s+1)^2}\right][/tex] 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.
 
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  • #2
If you enter assume(a>0); and

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

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

What is Maple's capability with Laplace transforms?

Maple is a mathematical software that has powerful capabilities in solving problems involving Laplace transforms. It can perform symbolic and numerical computations, as well as graphing and visualization of Laplace transforms.

Can Maple handle complex Laplace transforms?

Yes, Maple has the ability to handle complex Laplace transforms, including those with multiple variables and parameters. It can also handle inverse Laplace transforms and partial fraction decomposition.

How accurate are the results obtained using Maple for Laplace transforms?

Maple uses high precision arithmetic and advanced numerical algorithms to obtain accurate results for Laplace transforms. However, the accuracy of the results also depends on the input values and the complexity of the problem.

Is there a limit to the size of Laplace transforms that Maple can handle?

Maple has the ability to handle large and complex Laplace transforms. However, there may be practical limitations in terms of memory and processing power, depending on the capabilities of the computer being used.

Can Maple perform Laplace transforms for any type of function?

Maple has a wide range of built-in functions and algorithms to perform Laplace transforms for various types of functions, including polynomial, trigonometric, exponential, and more. It also allows users to define their own custom functions for Laplace transforms.

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