Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Are we allowed to ask questions about only math or does it have to only be a problem with maple code?

Hey guys, I have created this vector field at t=0. Now I would like to ask how can I animate this vector field changing to let say t=0 to 10. Thanks already! Check the code I already wrote and uploaded.upload.mw

Can there be approximate ways of calculating the derivative? Maybe I should count on some formula? Or can not it be calculated in any way at all?

I want to solve transcendental equation in maple and facing problem to plot  “β” vs “a” plot, using Eq. 8, 9, 10...

PDF file attached below:

Equation_file.pdf

restart; with(plots);
G := 1; M := .1; R := 1; P := .72; alpha := .1; phi := 1; K := 1; n := 2; beta := 1;
                               1
                              0.1
                               1
                              0.72
                              0.1
                               1
                               1
                               2
                               1
ode1 := {(1+(4/3)*R)*(diff(theta(x), x, x))+(1/2)*P*f(x)*(diff(theta(x), x))+alpha*theta(x) = 0, n*(diff(f(x), x, x))^(n-1)*(diff(f(x), x, x, x))+f(x)*(diff(f(x), x, x))/(n+1)+G*theta(x)-M*(diff(f(x), x)) = 0, f(0) = 0, theta(10) = 0, (D(f))(0) = beta*K*((D@@2)(f))(0), (D(f))(10) = 1, (D(theta))(0) = -phi*(1-theta(0))};
 /7  d  / d          \                     / d          \
{ - --- |--- theta(x)| + 0.3600000000 f(x) |--- theta(x)|
 \3  dx \ dx         /                     \ dx         /

                         / d  / d      \\ / d  / d  / d      \\\
   + 0.1 theta(x) = 0, 2 |--- |--- f(x)|| |--- |--- |--- f(x)|||
                         \ dx \ dx     // \ dx \ dx \ dx     ///

     1      / d  / d      \\                  / d      \      
   + - f(x) |--- |--- f(x)|| + theta(x) - 0.1 |--- f(x)| = 0,
     3      \ dx \ dx     //                  \ dx     /      

  f(0) = 0, theta(10) = 0, D(f)(0) = @@(D, 2)(f)(0),

                                           \
  D(f)(10) = 1, D(theta)(0) = -1 + theta(0) }
                                           /
dsol := dsolve(ode1, numeric, method = bvp[midrich], range = 0 .. 10);
Error, (in dsolve/numeric/bvp) initial Newton iteration is not converging

 

I try to get real solutions for a PDE, i.e. real-valued functions depending on real variables. Maple computer complex solutions, i.e. complex-valued functions depending on complex variables.

Here is the example in question: (the four function f1, f2, f3, f4 depend on the four unknowns lam, mu, l, m)

`assuming`([pdsolve([diff(f2(lam, mu, l, m), m)-(diff(f1(lam, mu, l, m), l))-(diff(f4(lam, mu, l, m), mu))+diff(f3(lam, mu, l, m), lam) = 0, diff(f1(lam, mu, l, m), m)+diff(f2(lam, mu, l, m), l)-(diff(f3(lam, mu, l, m), mu))-(diff(f4(lam, mu, l, m), lam)) = 0])], [real])

`assuming`([pdsolve([diff(f2(lam, mu, l, m), m)-(diff(f1(lam, mu, l, m), l))-(diff(f4(lam, mu, l, m), mu))+diff(f3(lam, mu, l, m), lam) = 0, diff(f1(lam, mu, l, m), m)+diff(f2(lam, mu, l, m), l)-(diff(f3(lam, mu, l, m), mu))-(diff(f4(lam, mu, l, m), lam)) = 0])], [real])

How can I solve my problem and receive only real solutions to my PDE?

A similar problem had been posted before (see here), but I can only find a cached version of the post where no answers are displayed.

Hi,

I would like to control the extents of my 3D parametric plot. Increasing the grid creates too many gridlines and I just get a black plot  (and I still don't get the extent in the y-coordinate that I want).

Any suggestions how I might be able to get this plot from -360 to 0 and -20 to 60 completely filled in? (see attached workbook).

Any suggestions on how to control the gridlines?

An idea of what I am trying to do...I want to plot argument(z/(1+z)) vs. argument(z)*180/pi vs. 20*log10(abs(z)) with contours of argument(z/(1+z)) and 20*log10(abs(z/(1+z))
This is a 3D plot of the output phase of a Nichol's Chart (with the output contours of the Nichol's chart).

Thanks.

phaseplot.mw

Hello,

I need a little help...

what I want to do, if i have 3 equations  with multiple variables and i want to get derivative of some of these variables wrt other variables while setting others as constants

here in the example

1st i thought the last equation should have partial m / partial f ... how can i get that

2nd if ,another problem, i wanted to set z as a constant so it won't consider getting its derivative, how do i get that

diff_test.mw

f1 := x = y+z

x = y+z

(1)

f2 := y = 2*f^2+3

y = 2*f^2+3

(2)

f3 := z = 22*f^3+33*f+m

z = 22*f^3+33*f+m

(3)

implicitdiff({f1, f2, f3}, {x, y, z}, x, f)

66*f^2+4*f+33

(4)

NULL


Download diff_test.m

 

hope i was clear in my explanation. thank you

 

I am getting this error for almost everything that i write in maple today, and i simply have no idea what causes it or what it means

 


 

"?SetOfCommonDivisors:=(X,Y)->{[[1,X intersect (map(numtheory:-divisors, Y))<>{???}],[0,otherwise]]??"

Error, unable to parse 'mverbatim'

"?SetOfCommonDivisors:=(X,Y)->{[[1,X intersect (map(numtheory:-divisors, Y))<>{???}],[0,otherwise]]??"

 

``


 

Download WTF_ERROR.mw

i have a function,when using fsolve to solve it, it has two roots. when i substitute it into the main function, it has some residual and it is not exactly 0. how should i remove the residual ? i do not want to use "solve" command and i should use "fsolve" command. tnx in advance


 

restart:

f:=3*(2*x-1)^2*(1/2)-1/2;

(3/2)*(2*x-1)^2-1/2

(1)

ans:=fsolve(f)

.2113248654, .7886751346

(2)

eval(f,x=ans[2])

-0.4e-9

(3)

 

 

 

``


 

Download problem.mw

Hello,

So my questions is fairly simple but I am not sure if Maple can do this. I want to create a Matrix full of partial derivatives (Jacobian), but computing this Jacobian is maxing out my RAM. So I would like to create each row (or column) of the Jacobian seperately and save each row (or column) in a Matrix that has already been saved to a file. Basically I would like to store values in a file (in a loop) without overwriting the file.

hey

not from a ready-made example from a module

Hello,
Can i un a maple program in console mode (example, cmd of MS-DOS), by command line?. I ask this, beacause it would take a lot less time to execute.

Regards

Hi every body:

I have to obtain Amax where is the maximum value of the f(t) function at steady state but at first i don't know steady sate what's the mean and the second i don't know how to obtain it with maple. help me plz. tnx. 

f:=(t)->A*sin(x*t)

A := -6000.*x^3*((5.925123867*10^87*I)*x+5.830850605*10^88*x^2+1.752916719*10^90)/((4.241561702*10^89*I)*x^4-2.669934485*10^90*x^5-(3.812926555*10^90*I)*x^2+7.038145625*10^91*x^3+3.174301659*10^89*I-8.376628660*10^90*x)

Sin.mw

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