How can i solve for G(p,q,r,t) in the following pde

diff(G(p, q, r, t), t) = {lambda*(p-1)+gamma*(r-1)}*G(p, q, r, t)+delta*(1-p)*(diff(G(p, q, r, t), p))+kappa*(N*r-q)*(diff(G(p, q, r, t), q))+mu*(1-r)*(diff(G(p, q, r, t), r))+beta*(q*e^(-`ρτ`)-p*r)*(diff(G(p, q, r, t), r, p))

Here is what I tried.

I need to get the sum of all the real roots of 3*sin(x^2) = x

So I tried this. 

>solve(3*sin(x^2)-x = 0, x, AllSolutions)

Which gaved me this 3*sin(RootOf(_Z-9*sin(_Z)^2))

Then >sum(3*sin(RootOf(_Z-9*sin(_Z)^2)), _Z = -infinity .. infinity)

Which gives me this answer which I cannot make sense of.  signum(sin(RootOf(_Z-9*sin(_Z)^2)))*infinity

I have a question regarding on how to graph and prove that csc ^2(theta)-cot ^2(theta)=1 our professor provided us with a very poor example, i have to graph the left side of the equation first with a 0 to 2*Pi x-axis and then graph the right side on the same plot. 

Could anyone help with solving this integral?

> evalf((∫)[-infinity]^(infinity)((∫)[-infinity]^(v)( uv)/(sqrt(2 Pi))(1/2+1/2 erf((1 )/2 sqrt(2) u))(1/2-1/2 erf((1 )/2 sqrt(2) v))(e)^(-((u^(2+v^(2))))/(2)) ⅆu )dv);

thanks,

Hello,

I need to plot M vs phi from the following ode. For this I am using implicitplot but unfortunately

I am getting empty plot. Please guide me through this issue.

Thanks 

eq1 := 1/(1-phi)^2.5/(1+4117/783*phi)*diff(f(eta),`$`(eta,3))+1/2*f(eta)*diff(f(eta),`$`(eta,2))

+M*(1-diff(f(eta),eta)) = 0;

bc:=f(0)=0,D(f)(0)=beta/(1-phi)^(2.5)*(D@D)(f)(0),D(f)(N)=1;

respar:=dsolve({eq1,f(0)=0,D(f)(0)=beta/(1-phi)^(2.5)*(D@D)(f)(0)},numeric,

Hi. I'm very new to maple, and got stuck on a task on my assignment. I'm supposed to find the area of the segment (gray area) with the diameter D as a function of h. Any help and pointers is appreciated, thanks. :)

The following example has been a cornerstone in the computer lab exercises for Calculus II:

a := n -> (-1)^n*arctan(n):
Limit( a(n), n=infinity ):
% = value( % );
              /    n          \     1      1         1      1     
     lim      \(-1)  arctan(n)/ = - - Pi - - I Pi .. - Pi + - I Pi
n -> infinity                       2      2         2      2     

In the name of God

I have 2 worksheets open, in my maple16 screen

In one of them I do

save rrK,"ttKazem.m"

and can easily restart and after that read "ttKazem.m" in that worksheet

but in the other worksheet, unfortunately read "ttKazem.m" yields:

Error, Could not open 'ttKazem.m' for reading

That's really wonderfull. Any idea?

How to include/code/type such type of boundary conditions in maple?

Thanks

Hello,

1. Is it possible to create a function file in Maple and call the function(file) from the main program(like Matlab?). If yes, please give me an example case.

I want to create a function file which has the general input terms and call the function from another script file without copying/running all the code.

2. Is it possible to run 'recursive function' in maple?

3. How can I create library of my function files?(like in Matlab I can create...

Hi, I need to update a procedure prcLeastSquareLA so that it includes error estimate information as output in it. So far for the procedure I have this:

prcLeastSquareLA:=proc(data,degree)

local vars,y,A,V,k,e,i,j,v,c,lstVars;  

vars := seq(c_i, i = 0 .. degree);

y := unapply(`+`(seq((c_i)*t^i, i = 0 .. degree)), t);

 for k to nops(data) do 

e_k := y(data[k][1]) = data[k][2];

v_k := [coeffs(lhs(e_k))];

I would like to plot a parametric equation

y = 7at -t^2

x= t^5-(3+a)t^3-3

and vary the value of (a) between -3 and 3

i tried to use:

plot([seq((7at -t^2, t^5-(3+a)t^3-3),a=-3..3)],t);

but I just can't get it to work

any ideas :S

Mark

So, my code is this:

u := u1+(u2-u1)*JacobiSN((1/2)*phi*sqrt(s*(u3-u1)), k)^2;

r := 1/u 

where u1,u2, u3, s, and k, are just some constants

and here is where I think it's having problems 

Top := [r*cos(v), r*sin(v), 2*sqrt(s*(r-s))];
Bottom := [r*cos(v), r*sin(v)-2*sqrt(s*(r-s))]
figure(22) := plot3d([Top, Bottom], r = s .. 20, v = 0 .. 2*Pi)

It gives me this error: 

Error, (in plot3d...

How to extract affine terms from a differential equation after linearization?

Vanderpol Eqn:

To be precise, I linearized...

How to add markers to the plot?

like this (Mathcad)

http://hostingkartinok.com/show-image.php?id=463430d32fa17177980d7308df09ca2c