kill(all)$

solve pde (part 2), use laplace transform. 'version 1.0'
peter.vlasschaert@gmail.com,11/12/2018

load packages
============

load(orthopoly);

extra : load("C:/....fulllpath.../*.mac")
==============================

load("C:/math/laplaceInv.mac");

examples:
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example 1:

assume(a>0);

p1:exp(-a*s)/s;

p1a:laplaceInv(p1,s,t);

example  2:

p2:exp(-2*s)/s^2;

p2a:laplaceInv(p2,s,t);

example  3:

p3:exp(-2*s)/(s*(s^2+4));

p3a:laplaceInv(p3,s,t);

when ilt doesn't work

example : website.
===============

p4:laplace(unit_step(t-3),t,s);

p4a:laplaceInv(%,s,t);

p5:laplace(delta(t-3),t,s);

p5a:laplaceInv(%,s,t);

ref :https://themaximalist.org/category/differential-equations/
rem : case sensitive 'laplaceInv'