Hi. Two Applications for equrep: expression isolation and laplace transform.
Must to have a lot of bugs. Sugestions are welcome.

equrep.sm (121,18 KiB) scaricato 1416 volta(e).
equrep.pdf (215,29 KiB) scaricato 968 volta(e).

Best regards.
Alvaro.

Wrote

Hi. Two Applications for equrep: expression isolation and laplace transform.
Must to have a lot of bugs. Suggestions are welcome.

Alvaro, can't help ...
I don't understand in what eqrep should help or be useful.
Laplace stuff does not come out of blue sky.
Laplace of a function puts that function in the Laplace domain.
From there, you can inverse wrt to any applicable 'new s domain'.
1-[exp(-t)*cos(3*t)]/2
Jean.

Laplace Numerical Algo Style READ 3rd.sm (9,68 KiB) scaricato 1402 volta(e).
Inst_TurboGen Signum.sm (86,72 KiB) scaricato 1381 volta(e).
Inst_TurboGen Smath.sm (118,82 KiB) scaricato 1374 volta(e).
Inst_PID [MCD Model].sm (179,67 KiB) scaricato 1294 volta(e).

Wrote

I don't understand in what eqrep should help or be useful.

Hi Jean. You use maple in your files, which it's a great plugin, but external to smath. I just use only smath code.

Best regards.
Alvaro.

Wrote

Hi Jean. You use maple in your files, which it's a great plugin, but external to smath. I just use only smath code.

I understand Alvaro,
Good luck to replace all the maple capabilities.
There is lot more than Laplace to make work,
IMHO: eqrep will never be exhausted.
Further: the tracability of an Smath/maple document is
implicit [per say] ... thus will pass QA [Quality Assurance].
Cheers ... Jean.

Solving an ODE by laplace transform. Just only SMath code.

laplaceODE.sm (150,24 KiB) scaricato 1431 volta(e).
laplaceODE.pdf (226,73 KiB) scaricato 1056 volta(e).

Best regards.
Alvaro.

Hola ! Alvaro,
Two more applications [TurboGen & PID]
For you to finish for the 7251 Community.
1. PID is left Gamma(x)
2. TurboGen is Γ(ζ)

Cheers ... Jean

Laplace Numerical Algo Style PID.sm (38,72 KiB) scaricato 1369 volta(e).
Laplace Numerical Algo Style TurboGen [Alvaro RemToDo].sm (77,31 KiB) scaricato 1304 volta(e).

1. This document links to a Laplace table to explore.
2. Certify the accuracy of the Numerical Inverse Laplace.

Laplace Numerical Algo Style EDU.sm (83,37 KiB) scaricato 1506 volta(e).

Some high school maths. Solving simple 2,3 and 4 equations systems.

ejemplo isol Atwood.pdf (221,12 KiB) scaricato 980 volta(e).
ejemplo isol Atwood.sm (106,61 KiB) scaricato 1479 volta(e).

Best regards.
Alvaro.