## MaplePrimes Questions

Hi,

I am the administrator of Maple in my school, and all the students use Maple in part of their exams. Is it possible  to block the access to ChatGPT thru eg. the firewall or otherwise during exams.

The reason for this question is that the students must have access to some internet sources during exams, but definately not CharGPT.

Kind regards

Per Kirkegaard

## solve the equation of the odometric model...

Hello, I try to solve the equations of the odometric model with the Maple 2024 but I have not the answers as with the hands, can you help me to verify it ?

dsolve(diff(phi(t), t) = tan(10*t)/5)

dsolve(diff(x(t), t) = V*cos(ln(1 + tan(10*t)^2)/100))

dsolve(diff(y(t), t) = V*sin(ln(1 + tan(10*t)^2)/100))

Best regards, Edern Ollivier.

## How to make ODESteps use the new nicer looking con...

I noticed that Student:-ODEs:-ODESteps does not use the newer subscripted constant of integrations for solution of odes which looks much nicer.

Is there a way to make it use same constant of integrations as dsolve() does? Compare

This is on a worksheet using typesetting level extended. Worksheet is attached

 > restart

 > interface(version);

 > Physics:-Version();

 > #to make Maple use the new constant of integrations. Is this still needed in Maple 2024? dsolve(diff(y(x),x$9)=1,arbitraryconstants=subscripted): pdsolve(diff(psi(x,t),x$9)=0,arbitraryfunctions=subscripted):
 > ode := diff(y(x), x\$2) + 2*y(x) = 0; Student:-ODEs:-ODESteps(ode,y(x));

 > #compare to this output dsolve(ode,y(x));

## Need to Obtain Bifurcation Points and Bifurcation ...

Hello Everyone;

I need to find the bifurcation point and further bifarcation diagram for the given model. But facing error. Can anybody help to do this? Can you refer some library for bifurcation analysis of ODE's? Code is attched. Thanks in Advance.

123.mw

 >
 >
 >
 (1.1)
 >
 (1.2)
 > bif_eq1 := eq1 = 0;

 > bif_eq2 := diff( eq1, V) = 0;

 > bif_sol := solve({ bif_eq1,bif_eq2}, {V, g_Na});

as the solutions, which are then expressed as the points  via

## Plot display options....

Can a plot be output to a pixel array?

## Disable Maple AI Formula Assistant...

Is there a way to disable Maples AI Formula Assistant? This could be relevant when using Maple for a test.

Given this simplified solution,

sol1 := (-vin + sqrt(-4*I2^2*R^2 + vin^2))/(2*I2*omega0*L)

how do I bring the denominator back under the radical?

## what is the right way to rearrange this equation...

I have solution to system of equations that results (I assign it to) in:

I2sol := -I*omega0*k*L*vin*1/(L^2*k^2*omega0^2 + R^2)


I then try to solve it for k by doing

solve(I2sol = I2, k)


but that doesn't work.  What is the "right" Maple way to rearrange I2 such that the expression is the solution(s) for k?

## How to make a system of ODE into its dimensionles...

I want to make the system of ODE into its dimensionless version:

Dimensional version:

dN/dT= R*N (1 −N/K)−alpha*N*P/(A + N);

dP/dT= gamma*N*P/( A + N) + C*P/(1 + Q*P) −MP;

N (0) ≡N_0 ≥0 and P (0) ≡P_0 ≥0

R, K alpha, gamma, M, C, Q are all positive constant.

Using one choice of dimensionless variable x = N/K , y = alpha*P/(R*K), t = R*T, the system of ODE can be reduced to its dimensionless version as follows:

dx/dt = x*(1 −x ) −x*y/(a + x);

dy/dt = b*x*y/(a + x) + c*y/(1 + q*y) −m*y

where the dimensionless parameters are a = A/K , b = gamma/R , c = C/R , q = Q*R*K/alpha, and m = M/R.

## integration error...

How to integrate the below term

int((n*p+exp(n*p))*exp(-p)*p^(s-1)*f^s/((n*p+exp(2*n*p))*factorial(s)), p = 0 .. 1);
eval(%);

## HELP WITH A CORRUPTED FILE ASAP!...

Hey! I need help ASAP, because my maple file has been corrupted and i dont know what to do. Do you guys know how to recover a file? i can save it again as_mw. but should i change it to xml? or how? i have the link to my maple file attached, so if someone can help me, it could be helpful! Because i have an upcoming exam. Thanks youu

## why mapleprimes removes tags from post?...

I noticed tags on the post

https://mapleprimes.com/questions/238161-Why-Maple-Gives-Solution-To-Euler-Ode

keep disappearing.

I added tags "differential equation" and "dsolve" and so on.

Later on when I visit this site again I found the tags are all gone.

Why does Mapleprimes remove the tags on post?

Or is someone else removing the tags? If so, why? is something wrong with the tags I've added?

This happend twice on this one post. I noticed earlier today the tags were gone, so I added them again. And now I see the same thing. They are all gone.

## How to find the volume of a tore...

How could I find the volume of this equation (x^2+y^2+z^2+12)^2=64(x^2+y^2) using triple integrals in both spherical and cylindrical coords ? Thank you !

## Error, (in Typesetting:-Parse) too many levels of ...

I found that sometimes Maple gives

Error, (in Typesetting:-Parse) too many levels of recursion

When using the Latex command on the output of Student:-ODEs:-ODESteps

Below is worksheet showing it works for some and gives error for others. Is there a workaround for this? I'd like to convert the steps to Latex.

This happens in worksheet using either Display->Typesetting level as EXTENDED or STANDARD

 > restart;
 > interface(version);

 > Physics:-Version();

 > ode:=diff(y(x),x)=0; the_output:=Student:-ODEs:-ODESteps(ode,y(x)): latex(the_output)

\begin{array}{ccc}
& {} & \textrm{Let's solve}
\\
{} & {} & \frac{d}{d x}y \! \left(x \right)=0
\\
\textrm{•} & {} & \textrm{Highest derivative means the order of the ODE is}1
\\
{} & {} & \frac{d}{d x}y \! \left(x \right)
\\
\textrm{•} & {} & \textrm{Integrate both sides with respect to}x
\\
{} & {} & \int \left(\frac{d}{d x}y \! \left(x \right)\right)d x =\int 0d x +\mathit{C1}
\\
\textrm{•} & {} & \textrm{Evaluate integral}
\\
{} & {} & y \! \left(x \right)=\mathit{C1}
\\
\textrm{•} & {} & \textrm{Solve for}y \! \left(x \right)
\\
{} & {} & y \! \left(x \right)=\mathit{C1}
\end{array}

 > ode := diff(y(x), x, x, x ) + 3*diff(y(x), x, x) + 4*diff(y(x), x) + 2*y(x) = 0; the_output:=Student:-ODEs:-ODESteps(ode,y(x)): latex(the_output)

Error, (in Typesetting:-Parse) too many levels of recursion

 >