nm

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13 years, 8 days

MaplePrimes Activity


These are questions asked by nm

I can't find the help page for Abel second kind, class B. 

Maple has help page for Abel second kind, class A and Abel second kind, class C. But not for class B. 

Here is an example of Abel second kind class B

ode:=(3*t*y(t)+y(t)^2)+(t^2+t*y(t))*diff(y(t),t)=0;
DEtools:-odeadvisor(ode)

I wanted to know the difference and the transformation used for class B to make it Abel first kind.

I googled and can't find it. Also local help skips over class B.

Is this documented somewhere else?

btw, find error on the help page for class A. Transformation used is wrong. Will leave this for another question.

I've reported this problem to Maple many years ago but still not fixed in Maple 2025.

Maple not able to verify its own solution on some series solutions using odetest.

Any one can suggest a workaround one can use other than odetest to verify ode solution when using series? Or have an idea why this happens?

The solution is correct but for some reason odetest returns FAIL 

Below is one example of many I have

restart;

interface(version);

`Standard Worksheet Interface, Maple 2025.0, Linux, March 24 2025 Build ID 1909157`

 

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1861 and is the same as the version installed in this computer, created 2025, April 10, 15:58 hours Pacific Time.`

ode:=x*diff(y(x),x$2)+y(x)=0;
IC:=y(0)=1;
maple_sol:=dsolve([ode,IC],y(x),'series');
odetest(maple_sol,[ode,IC],'series','point'=0);

x*(diff(diff(y(x), x), x))+y(x) = 0

y(0) = 1

y(x) = c__1*x*(series(1-(1/2)*x+(1/12)*x^2-(1/144)*x^3+(1/2880)*x^4-(1/86400)*x^5+O(x^6),x,6))+ln(x)*(series(-x+(1/2)*x^2-(1/12)*x^3+(1/144)*x^4-(1/2880)*x^5+O(x^6),x,6))+(series(1-(3/4)*x^2+(7/36)*x^3-(35/1728)*x^4+(101/86400)*x^5+O(x^6),x,6))

Warning, unable to compute series necessary to test the given solution

FAIL

 

 

Download series_unable_to_odetest_april_12_2025.mw

I know of 3 ways to remove RootOf, but sometimes they give different result. How does one decide which to use? This is done in code. So method to decide can't depend on looking at the screen and see which result one "likes" more than the other.

Is allvalues() the one to use all the time? Could one of these 3 methods fail, and then one has to try the next one?

 

interface(version);

`Standard Worksheet Interface, Maple 2025.0, Linux, March 24 2025 Build ID 1909157`

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1859 and is the same as the version installed in this computer, created 2025, April 6, 14:34 hours Pacific Time.`

restart

e:=y*4^(1/3)*((4*x^2*RootOf(_Z^2*y - 4*_Z*x + y) - y^2*RootOf(_Z^2*y - 4*_Z*x + y) - x*y)/y^2)^(1/3) - _C2;

y*4^(1/3)*((4*x^2*RootOf(_Z^2*y-4*_Z*x+y)-y^2*RootOf(_Z^2*y-4*_Z*x+y)-x*y)/y^2)^(1/3)-_C2

convert(e,radical)

y*4^(1/3)*((4*x^2*(2*x+(4*x^2-y^2)^(1/2))/y-y*(2*x+(4*x^2-y^2)^(1/2))-x*y)/y^2)^(1/3)-_C2

DEtools:-remove_RootOf(e)

(1/16)*(c__2^3+4*x*y^2)^2/(y*(4*x^2-y^2)^2)-(c__2^3+4*x*y^2)*x/(y*(4*x^2-y^2))+y = 0

allvalues( e)

y*4^(1/3)*((4*x^2*(2*x+(4*x^2-y^2)^(1/2))/y-y*(2*x+(4*x^2-y^2)^(1/2))-x*y)/y^2)^(1/3)-c__2, y*4^(1/3)*((-4*x^2*(-2*x+(4*x^2-y^2)^(1/2))/y+y*(-2*x+(4*x^2-y^2)^(1/2))-x*y)/y^2)^(1/3)-c__2


 

Download removing_rootof_april_7_2025.mw

How does one create a new section using UI in Maple 2025?

I've done this many times in Maple 2024. To make section there, I simply do
   Insert -> Section

But I am not able to find this using the UI in Maple 2025, under insert 

Ofcourse, I know I can add section using

                    CTRL .

which works. But I was wondering, where is insert section is in the GUI? Hard to find. I do not see anything called section in the menu there., I tried few of the other items, but so far, can't find section.

Is it possible to reduce icon shaps in the top bar in Maple 2025 UI? It takes too much vertical space

Here is how Maple 2024 UI look in worksheet mode:

 

Compare to same thing in Maple 2025, worksheet mode

Comparing just the top bars, we see 2025 is much large and takes too much space.

We see Maple 2025 takes about twice as much vertical space as Maple 2024 from top of window to the first > in the worksheet.

Is it possible to have top bar in Maple 2025 with small icons or minimized somehow?

I also find the blank gray line annoying above the |> in Maple 2025 and I have no idea what it is there.

Over all, I like Maple 2024 UI much more. Easier to look at on the eye for me. The dark gray background is annoying for me to look at.

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