## 375 Reputation

10 years, 82 days

## @Paras31 , Well done , for tha...

@Paras31 , Well done , for that you must have good knowledge of the code and of the subject you are working on
Only then can AI work more effectively and both conditions are not met by me unfortunately.

Is the matlab code working what is showed here  giving the desired output ?

## @Paras31 , Thanks, maybe i can it t...

@Paras31 , Thanks, maybe i can it translate it with AI to Maple ?

## @Paras31  Is there matlab code from...

@Paras31
Is there matlab code from the numeric simulation ?

## @Paras31 klein-gordon_eg_-_8-9-2024...

Maybey  its usable ?
The simulation for 5 cases , so you need one procedure for one case to start with

klein-gordon_eg_-_8-9-2024-mprimes.mw

## @Paras31 It is not clear to me unfo...

@Paras31,  If you have the maple code that represents a situation for parameter alpha , then you could basically start making it generic

## @salim-barzani restart;# Step 1: De...

```restart;

# Step 1: Define the simplified differential equation
# This assumes the right-hand side form is: C / (lambda * (C * zeta + D))
eq_case3 := diff(G(zeta), zeta) / G(zeta)^2 = C / (lambda * (C*zeta + D));

# Step 2: Rearrange the equation to isolate G'(zeta)
eq_case3_rearranged := diff(G(zeta), zeta) = C * G(zeta)^2 / (lambda * (C*zeta + D));

# Step 3: Solve the differential equation using Maple's dsolve
sol_case3 := dsolve(eq_case3_rearranged, G(zeta));

# Step 4: Simplify the solution, if necessary
simplified_sol_case3 := simplify(sol_case3);

# Display the final solution
simplified_sol_case3;```
```odeadvisor(diff(G(zeta), zeta)/G(zeta)^2 = C/(lambda*(C*zeta + D))):
[_separable]
```

## In the beginning with the first photo pr...

In the beginning with the first photo printout with the colored indicated formulas and the 1st and 2nd corrected response from @mmcdara I could still follow what was happening.
What happened next in the thread is not clear to me with multiple photo printouts of information.
Has any feedback come from @salim-barzani that each code solution step of @mmcdara's elaborations are clear to him ( understood so )?
If not, that needs to be worked on first as a basis to proceed.

## @salim-barzani It didn't cross ...

@salim-barzani
IIt didn't cross my mind that you wouldn't know algebra, no way.
Someone else brought it up
Oh, yes I'm not an expert, so don't expect anything from me

## @mmcdara , thanks Great job though...

@mmcdara , thanks

Great job though.
Thought the intention was to get an identical expression ?
There I do assume @salim-barzani knows the elementary algebra rules, otherwise you can stop.

## I don't think Maple can do anything ...

I don't think Maple can do anything else with this to rewrite it in another form.
I've also had this happen years ago with an expression and asked on the forum here
There would be nothing more to do, given Maple's algorithm

The only thing you can do is check the two expressions in Maple if they are the same?

## Indeed to get an expression into a parti...

Indeed to get an expression into a particular shape, that really requires a thorough knowledge of Maple and mathematical understanding
These examples of expression transformations can certainly be considered instructive.

In a book about Maple, used at a university somewhere in the Netherlands, it is also advised not to spend too much time on how a calculation of an expression looks like.
Because it does not matter to Maple how big the expression is.

Indeed eq8 is derived, but it is still not the same as in the paper
Well , now i want to see same expressions in Maple as challence, whatever it takes :-)

## @salim-barzani Its possible to get ...

@salim-barzani
Its possible to get your expresssions in the wanted form (the art of expression massage :-))
https://www.mapleprimes.com/questions/238929-How-Simplify-This-Expresion-In-Maple
This former thread is a nice example how you can study this art and become better

I did a small part for eq_8  only and made also a procedure for it
Look how i split the commands and i am using also a AI maple coding expert for questions if they com e up..
You have to be creative and make an analysis of an expression and discover something mathematical in it
I did just a little begin.
This_way_mccdarr_ode_manipulatie4-9-2024Mprimes.mw

```myODEProcedure := proc()
local eq_7, negsol, CS, replace, B1B2, eq_8;

# Define the differential equation
eq_7 := diff(G(eta), eta\$2) + sigma*G(eta) = nu;

# Solve the ODE under the assumption that sigma < 0
negsol := rhs(dsolve(eq_7) assuming sigma < 0);

# Display the intermediate result for the original solution
print("The intermediate result for negsol is:", negsol);

# Convert the solution to a trigonometric form and expand
negsol := convert(negsol, trig);
negsol := expand(negsol);

# Display the intermediate result after trigonometric conversion and expansion
print("The intermediate result for negsol after trigonometric conversion and expansion is:", negsol);

# Define the replacements for hyperbolic functions
CS := [C, S];
replace := convert(indets(negsol, function), list) =~ CS;

# Display the replacements that will take place
print("The replacements for hyperbolic functions are:", replace);

# Replace cosh and sinh with C and S and collect terms
negsol := collect(eval(negsol, replace), CS);

# Display the result after replacing and collecting terms
print("The intermediate result for negsol after replacement and collection of terms is:", negsol);

# Solve the coefficients in terms of B1 and B2
B1B2 := solve({coeff(negsol, C) = B1, coeff(negsol, S) = B2}, [_C1, _C2]);

# Display the result of the coefficient solution
print("The solution for the coefficients B1 and B2 is:", B1B2);

# Create the final equation eq_8 by substituting the found solutions
eq_8 := eval(eval(negsol, B1B2[]), (rhs = lhs)~(replace));

# Return the final equation
return eq_8;
end proc:

eq_8 := myODEProcedure();
```

## @salim-barzani  What book you are u...

@salim-barzani
What book you are using ?,then i can do more ( i hope:-) )

## @janhardo EXPLORATIONS OF MATHEMATI...

EXPLORATIONS OF MATHEMATICAL MODELS IN BIOLOGY WITH MAPLE™
MAZEN SHAHIN Department of Mathematical Sciences Delaware State University

## A  >&nbs....

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