MaplePrimes Questions

Hi

I would like to know if recent Maples's verion (> 2015) contain methods for solving functional equations ?
Functional_equation

TIA

I'm trying to graph the solution to:

[7.72-7.72*B]*[-7.717267500*a] = 662204.4444*B^2

with a as the independent variable (X-Axis) and B as the dependant variable (Y-Axis). I've been using the command:

 

implicitplot([7.72-7.72*B]*[-7.717267500*a] = 662204.4444*B^2, a = 10 .. 15000, B = 0.1e-1 .. 1)

 

I dont get any errors, but the graph is ust a blank graph that is -10..10 for both axis (at least they are labelled correctly)

Any help as to how to solve this woud be greatly apprecated (either fixing syntax or recommending another command).

Note: These ranges are correct....a will be something between 0 and 20,000 and B will be between 0 and 1

 

Thank you! - Bob

How these system of relations can be defined and plotted?(with any possible assumptions)

 

restart

x[n+1]=1/3*(2*x[n]*y[n]+4*x[n]*z[n])+1/12*(2*x[n-1]*y[n-1]+4*x[n-1]*z[n-1])

x[n+1] = (2/3)*x[n]*y[n]+(4/3)*x[n]*z[n]+(1/6)*x[n-1]*y[n-1]+(1/3)*x[n-1]*z[n-1]

(1)

y[n+1]=1/3*(1/4*x[n]*z[n]+y[n])+1/12*(1/4*x[n-1]*z[n-1]+y[n-1])

y[n+1] = (1/12)*x[n]*z[n]+(1/3)*y[n]+(1/48)*x[n-1]*z[n-1]+(1/12)*y[n-1]

(2)

z[n+1]=1/3*(x[n]*z[n]+2*y[n]*z[n])+1/12*(x[n-1]*z[n-1]+2*y[n-1]*z[n-1])

z[n+1] = (1/3)*x[n]*z[n]+(2/3)*y[n]*z[n]+(1/12)*x[n-1]*z[n-1]+(1/6)*y[n-1]*z[n-1]

(3)

 


 

Download problem.mw

Determine the polynomials P∈R₃ [X] such that P (-1) = - 18 and whose remainders in the Euclidean division by X-1, X-2 and X-3 are equal to 6.

Error, (in pdsolve/numeric/process_PDEs) number of dependent variables and number of PDE must be the same

restart;
PDE := diff(u(x, t), t) - Laplacian(u(x, t), [x]) - u(x, t) + x - 2*sin(2*x)*cos(x) = 0;

IBC := D[1](u)(Pi/2, t) = 1, u(0, t) = 0, u(x, 0) = x;

pds := pdsolve(eval(PDE), {IBC}, type = numeric);
Error, (in pdsolve/numeric/process_PDEs) number of dependent variables and number of PDE must be the same
 

Where can I find a description of the []() syntax?

I have the polynomial :P=X⁴+X³+aX²+√2X+b

Determine a and b so that (1 + i) is zero of P; then calculate all the zeros of P

I have an equation E:=2*x^(7) -x^(6) -4*x^(5) -15*x^(4) -14 x^(3)+19*x^(2) +28*x+30

I want to the list of solutions which are real numbers (resp. which have a strictly positive imaginary part); can anyone help me !

Hello! 
I have this theta model:

And a problem, that sounds like: 
Use Maple's dsolve command with type = numeric, and odeplot
to solve the Theta model for different values of A with the initial condition: 
My question is, how do you use the commands "type = numeric", and "odeplot" to dsolve the model? 
Hope you understand my question, and maybe send a picture of the method to solve this math problem

 

Hello!

Using a geometry package, I ran into a problem: the area() function returns the wrong value for square elements.

What am I doing wrong?

_local(D)

with(geometry)

b := 2

h := 1

square(sq1, [point(A, 0, 0), point(B, b, 0), point(C, b, h), point(D, 0, h)])

evalf(area(sq1))

2.500000000

(1)

draw([sq1, A(printtext = true), B(printtext = true), C(printtext = true), D(printtext = true)])

 

triangle(tr1, [point(A, 0, 0), point(B, b, 0), point(C, b, h)])

evalf(area(tr1))

1.

(2)

draw([tr1, A(printtext = true), B(printtext = true), C(printtext = true)])

 

NULLNULL

NULL

b := .1

h := 1

square(sq2, [point(A, 0, 0), point(B, b, 0), point(C, b, h), point(D, 0, h)])

evalf(area(sq2))

.5050000000

(3)

draw([sq2, A(printtext = true), B(printtext = true), C(printtext = true), D(printtext = true)])

 

triangle(tr2, [point(A, 0, 0), point(B, b, 0), point(C, b, h)])

evalf(area(tr2))

0.5000000000e-1

(4)

draw([tr2, A(printtext = true), B(printtext = true), C(printtext = true)])

 

``


 

Download GeometryAreaTest.mw

h1=-i(c1*exp(A)-c2*exp(-A));

h2=c2*exp(A)+c1*exp(-A);

A=(i*a/2)*(x+b*t);

c1=sqrt(a+2*lambda)/a;

c2=sqrt(a-2*lambda)/a;

How to simplify the product of h1 and h2 in terms of trignometric functions?

h1*h2=?

Hi,

In the attached file I have added four equations and four unknown values. I would like to find the unknown values a[1], b[1], A[1], and B[1]. At the moment Maple cannot find the solutions. Can I add some conditions to help this?

 

SimulteniousEq.mw

Thanks,

Baharm31

Word-cloud is popular function which many languages have as add-on. Sometime called tag-cloud. https://en.wikipedia.org/wiki/Tag_cloud

"A tag cloud (word cloud or wordle or weighted list in visual design) is a novelty visual representation of text data"

I did help and did some google search, but can not find function in Maple. May be I did not search correctly.

In Mathematica is it called WordCloud. Here is an example of its use

WordCloud[Import["http://maplesoft.com"]]

And it returns this image back to the screen

 

Can one do the above in Maple? And what is the function name? Is it in special package?

 

Hi

Is seem that maple change the order of the equation when I convert the system to matrix form

1) Can I kee the same order of the equations proposed in the system in order to get a special matrix form

2) Can I display the vector used in generating matrix maybe the order of unknown is inverted

system.mw

many thanks

 

Dear all

I have a second order partial differential equation.

I addeded some boundary conditions.

I tried to use plot3d for a function u(x,y) but there is no figure displayed.

 

plot_3d_curve.mw

 

I use Maple 18

Many thanks for your help

 

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