i have out come with different coieficent  i can do by hand one by one seperate them and make them equal to zero but how i can make  list of equation  with leading term is apear  too not just the equation i have to know which related the equation and leading term too, then find unkown coiefficient?

system.mw

i don't know how replace the function which remove the sign of integral even i know the author replaced by sin(t) and t and combined them like the picture but i don't know why my pdes not give me zero 

h-pde-M.mw

Here is a 3D plot of a hemisphere punctured by a cylinder.  I had to think a bit about how to produce this graphics in Maple.  I am posting it here for your amusement, and a challenge for your spare time.

in this pde I have to find R, and already in the paper finded but  in my openion is not correct even when i tested is not give me solution, in some paper like that i finded R variable by finding some condition in pde but i want a coding for arrange that condition for example in pde we have 4 function of t like C(t),B(t),N(t),and E(t) i have to change them for finding R  like exchange C(t)=C(t), B(t)=C(t),N(t)=-C(t),E(t)=E(t) also we can equal them to one too, this is one of the condition how many condition we can have for substitute each on like that and tested for finding R, one of this condition will make help to find that R  like  this paper

but my equation is different is this equation  in below 

i tested the author outcome and not make my pde to zero, also dipersion relation without changing any any function of t is so different and i think he just use the penlevy test variable 6/beta*diff(phi,x) as a tranformation but i think is mistake, so where is problem and how we can find all the condition 

pde-condition.mw

in this function contain another function which contain integral but when i replace is just take some of the function and other function is not acceptable i want ask  there is any way for plotting the function when i substitute all other function, is work for csc,sec,cosh, and for other not work and  infinity sign appear likesome other  like t,sin,cos,tan,tanh,sinh, so on 

 t-plot.mw

I would like to experiment with error estimation in the symbolic solution of ordinary differential equations. I've written a simple example in the attached file. I would now like to plot both the left side of the ODE and the solution y(x) together in the same coordinate system. I can't do this, and I'm asking for help. How can the cumbersome numerical terms in the solution y(x) be converted to floating-point numbers?

As I said, this is a recreational experiment ;-) .DGL_test.mw

Download DGL_test.mw

I have a lot of maple code for analysing electronic design uncertainties and would like to place a clip from the schematic before outputing the analysis results.  I have been working for hours on this with no success but I'm sure it must be simple.

I see that ImageTools,Preview kind of works but it outputs a very small, blurry image.  Is there just a simple command that I can read in my .png image and output it to the display?

undesired_textplot_format.mw

When using textplot() AND display(), how do I ensure that the expression I want in the figure is not modified by display()? See my attached spreadsheet where I demostrate this undesired behaviour. 

i did seperating but but is seems is not correct what is mistake in here?

issue1.mw

in here  for jacobieliptic i got two lambda[0] same as paper did but in second one is different and is true make my ode be zero, but is so different from paper 

test-Dr.D.mw

...but it's easily solvable with the help of a trick. My main concern is the path to the solution for the attached Diophantine equation. I was able to solve the problem both with pen and paper and then in Maple. There's certainly a more elegant way. I'm particularly interested in a special Maple command. However, I don't want to ask for it here yet, as it would give a hint of the trick and spoil the fun of solving the puzzle.

Download Diophant.mw

in here i want the system which when i found the system it contain a singularity but by some changing of system we can remove it, i know how he did that but i can't do it by coding, also after removing which i did by hand , there is another problem which equalibruiom points is to long how i can make it be shorter becuase contain two function i don't know how do that can i change the coiefecient of any function by another letter? also for phase portrait i need `conserved quantity` which last code is not work for finding this kind of system ? and how decide about jacobian if the `conserved quantity` is know by that after determine the points it will be clear on plots, i write the code untill finding the `conserved quantity` becuase code not run i didn't find jacobian and phase portrait but i will put the code of jacobian and phase portrait too! 

bi-1.mw

In here i replaced but i don't know why still the D[1](f)(x, y, 0, t) is remain in my function in equation eqt1, beside this my function contain imaginary part we can plot this or we have to remove that somehow?

eval.mw

I defined a 2×2 matrix V with entries involving operator-valued fields u(x,t), ω(x,t), and scalar function β(t). On macOS with Maple 2024.0, when I try to compute the derivative with respect to x using 

Vx := (diff, V, x);

Maple does not return a result. It just shows “Evaluating”

Download derivativve.mw

in this method i don't know in most of short equation i try to find the parameter but is just evaluating and nothing come up i don't know my way is wrong or write but i think i am right  but parameter not coming out, beside this in this equation give  me a warning regarding the parameters which say number of solution is more than 100 and dint show me that , how i can find the solution better than this?

f-p-.mw