Find parametric equations for the right circular cylinder having radius 3, length 12, whose axis is the z-axis and whose bottom edge lies in the plane: z=0.

Do I just define B={u1, u2, u3} being a basis for R³ and use the gram-schmidt operator to find the parametric equations?

I know that would give me an orthonrmal basis, but how do i find parametirc equations?

Hello there

I have to plot wavelet frame functions (framelet) using Maple. Can I send you the figure and help me to learn how to plot it and send me the code. I will pay for you if you can do it. 

Thank you

I'm trying to analytically solve for a Laplace's equation in a unit square with the following BCs: u(x,0) = 0, u(y,0) = 0, u(1,y) = 0, u(x,1) = 1

The series solution to this problem is well-known, where u(x,y) is solved with separation of variables to obtain u in terms of sin and sinh series.

I try to recreate the solution with pdsolve but am stuck with it.

My attempt:

lap2d := diff(u(x,y), x, x) + diff(u(x,y), y, y) = 0

sol := pdsolve(lap2d, HINT = X(x)*Y(y), build)  % saw this in mapleprimes

With this I managed to get an expression for u(x,y). My trouble is with the coefficients: _C1, _C2, _C3, _C4, _c_1

_C1 .. _C4 are clearly from integrations, but I am not clear about _c_1?

To solve for the constants of integrations, I tried to set up simultaneuous equations with the BCs.

For example,

eq1 := eval( rhs(sol), x=0) = 0

Similarly, repeat for the other 3 BCs to get eq2, eq3, eq4

I tried to solve these simultaneous eqns with:

solve({eq1, eq2, eq3, eq4}, {_C1, _C2, _C3, _C4})

but Maple does not output anyting.

Need your advice if this is the right way and I just goofed up with the syntax, or there are better ways to construct the series solution of the problem. Should I use linearsolve to find the C's?

I use Maple 17.

Thanks in advance

Who knows: is there a maple command for two matrix multiplication element by element without summing?

As am trying to solve this integration:

int(B*eta^(-B)*t^(B-1)*exp(-(t/eta)^B)*(t-n*h), t = n .. (n+1)*h)

where,

ETA:=1000

B:=2.5

But this error keeps coming :

Error, (in Optimization:-NLPSolve) integration range or variable must be specified in the second argument, got 1. = 1. .. 2.

Please Help ..

hi all

I want to plot a 2D fig by maple. my data are in an excel file and they are too much to import them one by one manually. When I copy and paste them in maple, they appear in a column... 

thank a lot for your help.

i want to plot two difrent graph in one diagram.. anyone how to do it?

restart; with(plots); n := .2; B := .5; Ec := 2.0; Pr := 1.0; N := .5; l := 1; rho := .5; c := 1; T := .5; T1 := .5; c1 := .2; c2 := .2; Gr := .5; blt := 5;

Eq1 := diff(f(eta), eta, eta, eta)+f(eta)*(diff(f(eta), eta, eta))-(diff(f(eta), eta))^2+l*B*H(eta)*(F(eta)-(diff(f(eta), eta)))+Gr*theta(eta)-Mn*(diff(f(eta), eta)) = 0;

Eq2 := G(eta)*(diff(F(eta), eta))+F(eta)^2+B*(F(eta)-(diff(f(eta), eta))) = 0;


Eq3 := G(eta)*(diff(G(eta), eta))+B*(f(eta)+G(eta)) = 0;

Eq4 := G(eta)*(diff(H(eta), eta))+H(eta)*(diff(G(eta), eta))+F(eta)*H(eta) = 0;
                 
Eq5 := diff(theta(eta), eta, eta)+Pr*((diff(theta(eta), eta))*f(eta)-2*(diff(f(eta), eta))*theta(eta))+N*Pr*(theta1(eta)-theta(eta))/(rho*c*T)+N*Pr*Ec*(F(eta)-(diff(f(eta), eta)))^2/(rho*T1) = 0;

Eq6 := 2*F(eta)*theta1(eta)+G(eta)*(diff(theta1(eta), eta))+c1*(theta1(eta)-theta(eta))/(c*c2*T) = 0;

bcs1 := f(0) = 0, (D(f))(0) = 1, (D(f))(blt) = 0, F(blt) = 0, G(blt) = -f(blt), H(blt) = n, theta(0) = 1, theta(blt) = 0, theta1(blt) = 0;

L := [0, 1, 2];

for k to 3 do R := dsolve(eval({Eq1, Eq2, Eq3, Eq4, Eq5, Eq6, bcs1}, Mn = L[k]), [f(eta), F(eta), G(eta), H(eta), theta(eta), theta1(eta)], numeric, output = listprocedure); Y || k := rhs(R[3]); YP || k := rhs(R[5]); YR || k := rhs(R[6]); YQ || k := rhs(R[7]); YA || k := rhs(R[8]); YB || k := rhs(R[10]) end do;

plot([Y || (1 .. 3)], 0 .. 10, labels = [eta, (D(f))(eta)]);

this comands will comeout to diffrent graph in two diagram.. but i want two graph in one diagram.. any one know how to do it.. beside that.. i want to know how to insert arrow in diagram..

what is the wrong with Pi set ::: in this function ::: Warning, no iterations performed as initial point satisfies first-order conditions

Optimization[Minimize](x^2 + y^2 + 25*(sin(x)^2+sin(y)^2), x=-2*Pi .. 2*Pi , y= -2*Pi .. 2*Pi);

Warning, no iterations performed as initial point satisfies first-order conditions
[0., [x = HFloat(0.0), y = HFloat(0.0)]]

Optimization[Maximize](x^2 + y^2 + 25*(sin(x)^2+sin(y)^2), x=-2*Pi .. 2*Pi , y= -2*Pi .. 2*Pi);

Warning, no iterations performed as initial point satisfies first-order conditions
[-0., [x = HFloat(0.0), y = HFloat(0.0)]]

--------------------------------

I got my good result when I apply it with this function :

f:= (x,y)->cos(x)*sin(y) -(x/(y^2+1));


Optimization[Maximize](f(x,y), x = -1 .. 2, y = -1 .. 1);

[0.994945017202501170,[x = HFloat(-0.6362676080636113), y = HFloat(1.0)]]

Optimization[Minimize](f(x,y), x = -1 .. 2, y = -1 .. 1);

[-2.02180678335978703,[x = HFloat(2.0), y = HFloat(0.10578346945175972)]]

Hi, this question is for Samir Kahn or other maplesoft staff.

Is there a way to use modelica biochem or any other chemical path library into maplesim? Do you plan to integrate this library in future versions of maplesim? Wolfram systemModeler has this library already integrated as does symbiology in matlab. Mr Kahn, I hope that your background in chemical engineering help you push for this new development in maplesim and help this product be even better than the competion. thank you and let me know as soon as possible.

juan

Hello,

Is it possible to use Maple 15 Student Edition with the same license information and purchase code both on Windows and Ubuntu?

I did a few Windows reinstalls (guess about 3) hence I used the same purchase code to activate the license that many times. Today I tried installing and using Maple 15 on Ubuntu 12.04.3 LTS 32-bit and to my dismay the license manager said, "Not enough activations left on this account." Furthermore, I have exhausted my download links and would like to know how many times Maple 15 can be activated and if the download links can be refreshed?

Thanks

Hi, guys and happy eastern to all! :)

I have a realy big problem. I have to do beziercurves in 3d plots.

I can´t plot it in 3d, something wrong with the plot (complex). Can anybody pls help me?! It´s very important to me, thanks! :)

im solving 4 ODe with boundary conditions.. i got this error Error, (in dsolve/numeric/bvp/convertsys) too few boundary conditions: expected 8, got 7

I already finished part a, my question is how do i define the function g with the variable k being any real value so that maple will find <f,g> = 0 (using the inner product defined)?

The Maple command

int(exp(-z^2*sin(z)^2), z = 0 .. infinity, numeric, epsilon = 0.1e-1);
outputs
                          2.835068335

However, I am not sure if the answer is correct.

AOA... I want to plot the following function which is continuous in [0,3]

f:=x^2+1  for x belong to [0,1]

f:=x^2-1  for x belong to [1,2]

f:=x+1  for x belong to [2,3]

Kindly help...