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) descargado 1406 vez(es).
equrep.pdf (215,29 KiB) descargado 963 vez(es).

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) descargado 1396 vez(es).
Inst_TurboGen Signum.sm (86,72 KiB) descargado 1374 vez(es).
Inst_TurboGen Smath.sm (118,82 KiB) descargado 1368 vez(es).
Inst_PID [MCD Model].sm (179,67 KiB) descargado 1286 vez(es).

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) descargado 1424 vez(es).
laplaceODE.pdf (226,73 KiB) descargado 1045 vez(es).

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) descargado 1365 vez(es).
Laplace Numerical Algo Style TurboGen [Alvaro RemToDo].sm (77,31 KiB) descargado 1298 vez(es).

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) descargado 1501 vez(es).

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

ejemplo isol Atwood.pdf (221,12 KiB) descargado 971 vez(es).
ejemplo isol Atwood.sm (106,61 KiB) descargado 1475 vez(es).

Best regards.
Alvaro.