MaplePrimes - Maple 2024 Posts and Questions

How to add exponent patterns for inverse Laplace transform

Honigmelone — Wed, 15 Apr 2026 12:38:39 Z

I want to add this rule to maple invlaplace:

invlaplace(Divide[exp(-s*a),b*Power[s,2] +c)]) - Wolfram|Alpha

It works on expressions that use "exp(-s*a)" but not on expressions with "e^(-s*a)". I do not know how to force maple to substitute the expressions and I do not know how to formulate this rule to make it stable. I need this functionality since maple returns results with e^(...) instead of exp(...). Can you please help me? I have attached a workbook example.

>	restart;with(inttrans)

(1)

>	addtable(invlaplace,exp(-sa)/(bs^2+c),Heaviside(t - a)sin(sqrt(c)(t-a)/sqrt(b))1/(sqrt(b)sqrt(c)),s,t,a,a::positive)

>	addtable(invlaplace,e^(-sa)/(bs^2+c),Heaviside(t - a)sin(sqrt(c)(t-a)/sqrt(b))1/(sqrt(b)sqrt(c)),s,t,a,a::positive)

>	assume(a_pos::positive)

>	invlaplace(exp(-sa_pos)/(bs^2 + c), s, t)

(2)

>	invlaplace(e^(-sa_pos)/(bs^2 + c), s, t)

(3)

>	algsubs(e^=exp,e^c)

Error, symbol unexpected

Download inttrans_exponent_question.mw

Thanks!

edit: simplified example

Substitution in pde with conjugate?

salim-barzani — Tue, 07 Apr 2026 21:28:05 Z

most of time is give me true my substittuetion but a lot time i saw it is not make my substittuetion true and this time i figure out which author did and outcome is what i am looking but when i do that is so different where is problem

f-m.mw

How to find equation involving two odes?

salim-barzani — Tue, 07 Apr 2026 17:22:38 Z

In here i did try my best and my equation outcome are ok but is not same as author did i dont know why, beside this he try to use two ode for constructing a new ode which find of one solution of this can be the third solution of ode!
i have to use eq(5) for my orginal ode but eq(5) contain f(x) and g(x) which by some assumption and taking two other ode eq(6) and eq(7) they construct new one which is eq(14) and by f(xi) and g(xi) have corelation with W(xi) which is third ode as in eq(9) and eq(11) mentioned, i try to use the solution which author mentioned but is not give me solution of third ode by using corelation what is problem here? also in eq(21) and eq(25) when thus parameter are satisfy must our odetest be zero

i will update two maple file which realted separatly for constructing equations and other is for apply and satisfy the solution for ode!

F-p.mw

ode-17.mw

there is any code for converting hyper-->trig?

salim-barzani — Sat, 04 Apr 2026 20:41:26 Z

a while ago there is a code for changing function from trig to hyperbolic and viceversa but i can't find that code except changind xi=I*xi there is another one?

Download convert.mw

Illustrating when an area is minimal

jalal — Fri, 27 Mar 2026 19:06:28 Z

Hi,

I am trying to correct this question for my students, but I would like to include a pedagogical graphical illustration to support the idea that, for the area of triangle BCS to be minimal, the height (SM) — where M is the midpoint of [BC]— must be perpendicular to the plane Π at point S.

The code provided in the appendix does not clearly convey this idea.

Any ideas or suggestions would be very welcome.

Thanks

bac23IllustrationEspace.mw

How to derive an unknown for the BKK system ?

salim-barzani — Fri, 27 Mar 2026 14:02:01 Z

Hello everyone, I am trying to reproduce Equation (25) from the paper by E. Yomba (Chaos, Solitons and Fractals, 2006) using Maple, where the improved extended algebraic Fan method is applied to the (2+1)-dimensional Broer–Kaup–Kupershmidt (BKK) system. Starting from the system in Eq. (23) and the ansatz given in Eq. (24), together with the auxiliary equation (Eq. (3)), the paper states that substituting these expressions and setting coefficients of powers of G(ξ) to zero leads to an overdetermined system whose solution yields Eq. (25). My difficulty is implementing this process in Maple: specifically, how to correctly substitute the ansatz into the PDE system, expand and collect terms with respect to G(ξ) and its derivatives, systematically extract the resulting algebraic/PDE system, and solve it efficiently (possibly using packages like PDEtools). I would appreciate guidance or example workflows for performing this type of symbolic derivation in Maple.

F1.mw