Hi all,

I want to get the general solution of the Laplace equation with boundary conditions below:

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]); do not give me the solution

Thank you to help to obtain the general solution and how (the method) to obtain this solution with Maple

the integral int(1/(1-2*r*cos(x)+r^2)^p,x=0..Pi/4), where 0<r<1 and p>1/2, or to find its asymptotics in r as r->1-?     

Thanks in advance.

In this series of blog posts, I have picked on Baseball win-loss records already.  Looking for other sources of things that might or might not be random, I decided to look at lottery draws.  Since I live in Canada, the obvious lottery to look at is the national Lotto 6/49.

A lotto 6/49 draw consists of drawing 6 numbered balls from...

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...

If you want to know what ::uneval does (it's an advanced option for procedure parameters), you can look at the uneval section of ?parameter_modifiers.  It is useful when you want to write a function which works on raw user input rather than on evaluated input.  This is quite tricky, and fraught with danger, and should only be used as a last resort;  but sometimes it really is rather handy.

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've been using Maple for many years in the good-old "classic worksheet" mode. After purchasing Maple 14, I decided to use the "new" worksheet mode (I know it's not that new, but I always objected to use it) to get the most of the 64 bit program with my 64 bit Windows 7...

1. My first problem is that "I cannot copy any output!" either to paste to an input line or to a text file!

My Tools-Options-Display section is,

Input display: Maple notation