I test a lot of them but some of them make a problem i  don't know i am do it in wrong way or the author did wrong i need verifying thus solution of odes specially in case 4 when we have not equal sign how use that?

and case 5 is Weierstrass elliptic function which i don't know how set up and use i think is a on kinf of odes but why they use that sign for this function?

ode-17.mw

I'm struggling to construct a statistical Distribution involving Product.
This is likely a question of delayed evaluation but I'm not capable to fix it.
Can you please look to this  Product_error.mw  worksheet  and help me fixing the issue?

Thanks in advance

Hi,

I’m having fun animating a beautiful geometric shape starting from a few trigonometric functions. I’m wondering if there’s a way to link each curve in the animation to its name.

Download Animation_Trigo.mw

How to get amultiple line plots in one graph for differnt values of E1 := .1,0.2,0.3,and 0.4 with differnt color line red,blue,black and green and how to get numerical values for the all E1 value in one matrix form 

at E1=0.1 value of diff(g(x), x, x), diff(f(x), x, x),diff(f(x), x) and diff(g(x),  x).

AGM_method_single_line_plot.mw

I recently upgraded from Maple 23 to Maple 24. While many display issues have been resolved, I’ve encountered a new real problem: when entering operations or a factorial in a denominator or exponent, the cursor unexpectedly jumps to the inline position. This forces me to manually reposition the cursor using backspace plus left-arrow keys, and forgetting to do so can lead to errors. I have a perpetual Maple license through my university and haven’t purchased maintenance this time. Is there any way to fix or work around this cursor-jumping issue in Maple 24 without purchasing a new license?

The_Bohrs_Model_-_MaplePrimes.mw

Look at the equation (11) in the Maple's document. I would like to force Maple to let the variable "r" inside the squared root so to get the equation (12). Any idea of doing that?  Thank you in advance for your help.

Already  by Help of my favorite Dr.David he did find the thus three step for non schrodinger equation but in here i got some issue of coding which is so different from before, is about transformation of pdes to two parts od real and imaginary part and then substitution our function the functions is clear but combining them and findinf leading exponent and resonance point and finding function in step 3 in different and jsut the function is different with eperate the real and imaginary part for finding step one ...

note:=q=u*exp(#) then |q|=u

schrodinger-test.mw

paper-1

paper-2

(2500iw/(1+5iw) )+(200iw/1-10iw)+5 rationalize and simplify

I was surprised that Maple can't solve this first order ode which is exact ode.

I solved by hand and Maple says my solution is correct.

Any one can find why Maple failed to solve this and if older versions can solve it? Also tried implicit option, but that did not help.

Download maple_solving_exact_ode_august_25_2025.mw

In the attached file, the trigonometric term (2, term) is transformed into a term (3, term1) consisting of radicals. Is there a Maple procedure that can be used to reverse this process? Given an algebraic term (e.g., consisting of radicals, powers, etc.), under what conditions can it be transformed into a trigonometric form (not a Fourier series) in the sense of (3) according to (2)?test.mw

Download test.mw

As we can see, RealDomain:-solve gives an incorrect solution to the following system: 

Download solve_returns_an_unsatisfiable_real_solution.mw

This appears to be a bug; is it possible to fix it? 
Text: 

sys := diff~(sqrt(2*a^2 - 8*a + 10) + sqrt(b^2 - 6*b + 10) + sqrt(2*a^2 - 2*a*b + b^2), [a, b]):
RealDomain:-solve(sys =~ 0, {a, b});

THis is problem from textbook. Maple do not give solution. 

But when asked for implicit solution, it gives one.  Should it not have done this automatically?

Download why_no_solution_maple_2025_1.mw

We see now there are two solutions for y(x), since quadratic.

So why dsolve do not solve this and at least give implicit solution automatically? Should this be reported as defect?

is been a while i work on a test still i am study and there is a lot paper remain and is so important in PDEs, a lot paper explain in 2003 untill know and there is other way to find it too but i choose a easy one but is 2025 paper  which is explanation is so beeter than other paper, also some people write a package for take out this test with a second but maybe is not work for all i  search for that  but i didn't find it i will ask the question how we can find thus as shown in graph i did my train but need a little help while i am collect more information and style of solving 

Download p1.mw

Hello everyone,
I hope this message finds you well. I am trying to plot a function f(x, y) and overlay its contour on a quarter ellipse using Maple 2015. However, I’ve encountered some difficulties and have not been successful so far. I would greatly appreciate any assistance in resolving this issue. Thank you!

Plotting in 2D

restart:with(plots):  aa := 4: bb := 2:  
f := -((x^(2))/(aa^(2))+(y^(2))/(bb^(2))-1)*((aa^(2)*bb^(2))/(aa^(2)+bb^(2))):  
plot3d(f,x = 0 .. aa/(2),y = 0 .. bb/(2),region = (x, y) -> ((2 x)/(aa))^(2) + ((2 y)/(bb))^(2)<= 1,axes = boxed,style = patchcontour, grid = [50, 50],orientation = [-120, 45],shading = zhue,title = "f(x,y) over quarter ellipse domain");

Contour plotting
xrange := 0 .. aa/(2): yrange := 0 .. bb/(2):  
nx := 100:   ny := 100:  
dx := (rhs(xrange) - lhs(xrange))/(nx-1):dy := (rhs(yrange) - lhs(yrange))/(ny-1):  
Z := Matrix(nx, ny, (i, j) -> local x, y, inside;x := lhs(xrange) + (i-1)*dx;y := lhs(yrange) + (j-1)*dy;inside := (((2 x)/aa)^2 + ((2 y)/bb)^2 <= 1);if inside then f(x, y) else NULL end if):  
contourplot(Z, xrange, yrange,contours = 15, filled = true, coloring = [blue, green, yellow, red], axes = boxed, title = "Contour plot over quarter ellipse", grid = [nx, ny]);