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) downloaded 1205 time(s).
equrep.pdf (215.29 KiB) downloaded 800 time(s).

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) downloaded 1220 time(s).
Inst_TurboGen Signum.sm (86.72 KiB) downloaded 1184 time(s).
Inst_TurboGen Smath.sm (118.82 KiB) downloaded 1190 time(s).
Inst_PID [MCD Model].sm (179.67 KiB) downloaded 1109 time(s).

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) downloaded 1247 time(s).
laplaceODE.pdf (226.73 KiB) downloaded 873 time(s).

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) downloaded 1186 time(s).
Laplace Numerical Algo Style TurboGen [Alvaro RemToDo].sm (77.31 KiB) downloaded 1108 time(s).

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) downloaded 1303 time(s).

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

ejemplo isol Atwood.pdf (221.12 KiB) downloaded 830 time(s).
ejemplo isol Atwood.sm (106.61 KiB) downloaded 1285 time(s).

Best regards.
Alvaro.