MaplePrimes Questions

Hi,

I was trying out piecewise functions as we have a question on them on our assignment. When I did this question in Maple 10 (our uni has this version), I got the answer, but when I type the same thing on Maple14(I use this version), I got the following:

u(x,0) := piecewise(x < -h, 0, -h <x and x <h, 1, h<x, 0);
Error, invalid left hand side in assignment

I know it is something to do with u(x,0...

I made various types of plots with the Plot Builder in Maple 14 and then I continued in the Document editor. When I evaluate the document containing the new plot statements, the Plot Builder dialog pops up repeatedly, seemingly once for every plot I previously constructed in it. This continues even after closing and reopening the document. How can I fix the document so this no longer occurs?

Mac w OS X, 10.4.6, 3.06 GHz Intel Duo with 4GB RAM, Maple14 Student

How can I solve the following differential equation?

with plots

Eq[1]:=diff(f(eta),eta$3)+g(eta);

Eq[2] := (diff(g(eta), `$`(eta, 2)))/Pr+f(eta)*(diff(g(eta), eta));

BCs := [f(0), (D(f))(0), (diff(f(eta), `$`(eta, 2)))(2), g(0)-1, g(2)]

pars := {Pr = 1}

for i to 2 do eq[i] := subs(pars, Eq[i]) end do

eqs := eq[1], eq[2]

vars := f(eta), g(eta)

bcs := op(subs(pars, BCs))

sol := dsolve({bcs, eqs}, {vars}, type = numeric, output = array...

Can I solve the following two coupled differential equations instead of the previous one in Maple 13?

 with plots

Eq[1]:=3*f(eta)*(diff(f(eta), `$`(eta, 2)))-2*(diff(f(eta), eta))^2+3*g(eta)

Eq[2]:=(diff(g(eta), `$`(eta, 2)))/Pr+f(eta)*(diff(g(eta), eta))

BCs := [f(0), (D(f))(0), g(0)-1, g(25)]

pars := {Pr = 1}

for i to 2 do eq[i] := subs(pars, Eq[i]) end do

eqs := eq[1], eq[2]

vars := f(eta), g(eta)

No that way I could have chosen infinity at 10 or lower values also. f ' will go from 0 to 0 through positive values only. But how can I claim then that my solution is infinity independent. Because if I change the value of infinity whole solution changes.

 

Moreover at 15.6 the value of f ' is sufficiently close to 0 but value of g (0) is about 0.15 which is far greater than 0. g (0) goes to zero at about eta=25.

So  can I get rid of the problem?  

Is it possible to use Maple 13 to illustrate synthetic division?

I'm currently solving three equations in three unknowns. I was wondering if it's possible to let Maple using the solutions by assigning the values of the parameters. For example:

 

solve([eq1(x,y,z) , eq2 (x,y,z) , eq3(x,y,z)] , [x , y , z]);

let's say we get: x=2 , y=5 , z=8.

Is there any way I can get Maple to assign values x:=2; y:=5; z:=8; automatically?

 

Thanks,

 

Christian

I'm currently attempting to solve a non-linear programming problem. I get the message "Warning, limiting number of major iterations has been reached". Is there any way in which I can increase the number of iterations? Thanks, Christian.

I tried to solve two coupled non-linear ordinary differential equations that arises in case of natural convection from an isothermal vertical flat plate. The problem is a boundary value one. The boundary conditions for the problem are at eta=0, f '(0)=0, f(0)=0, g(0)=1 and at eta=infinity f '(eta)=0, g(eta)=0. f ' should go from zero to zero through positive values but after a certain value of eta f ' is going to negative values until the value of eta =infinity at which it...

fc := exp(btp*s*cos(2*Pi*x/a))*exp(-(I*2)*Pi*n*x/a)

int(fc, x = 0 .. a)  assuming a > 0, s> 0, btp > 0, n::integer;

 

Thanks in advance.

Hi all,

Is there any way with "pdsolve" or 'dsolve' to get the general solution of Laplace equation in polar coordinates with boundary onditions as :

restart:sys[1] := [diff(A(r, theta), r, r)+(diff(A(r, theta), r))/r+(diff(A(r, theta), theta, theta))/r^2 =0, D[2](A)(r, theta0) = 0, D[2](A)(r, theta0+beta) = 0, D[1](A)(R1, theta) = 0, A(R2,theta)=f(theta)];

pdsolve(sys[1]);

Thanks in advance

How do i use Maple to find all the pairs of consecutive primes between 2 and 500, that is, all the pairs (n, m) such that abs(n-m)

i have an image and would like to perform a canny edge detection. one of the first steps is the convolution of the image with a smoothed derivative filter, i.e. a gaussian. the problem is, that i don`t know, how to convolve my collection of discrete pixels (the image) with a 2D gaussian. how do i get an integer-valued convolution kernel that approximates a Gaussian with a variable sigma?

I want to simulate the model as show in Fig.1 

Fig. 1

Its equation of movement is 

eq

and its mathematical solution can be caculate as Fig. 2

i need tooo solve this asap help me

-x+y=4

x^2+y=3

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