Maple Questions and Posts

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I'm wanting to use maple to plot the solution curves of a system of differential equations in the form x(t)=f(x(t),y(t)) y(t)=g(x(t−h),y(t−h)) z(t)=h(y(t)) Where h is a positive constant. Is it even possible to use maple to solve/plot something like this? I've tried by best to look through the help pages and can't find useful. Many thanks :)

What does the command length( ) return when the input is a list? For example length([1,1]) returns 7, how does length arrive at this result?

I try to find out, whether two expressions are equvalent or identical, respectively.
E.g. I have the following expressions:

m1 := -sigma^2*n*(phi+ln(-1/(-exp(phi)+exp(phi)*mu/n-mu/n)))/(mu*(-1+mu/n)*phi);
m2 := 2*mu*n*(phi+ln(-1/(-exp(phi)+(1/2)*exp(phi)*(n+sqrt(n^2-4*n*sigma^2))/n-(1/2)*(n+sqrt(n^2-4*n*sigma^2))/n)))/((n+sqrt(n^2-4*n*sigma^2))*phi);

 

and I tried to just subtract one from the other and afterwards simplify:

m1-m2;
simplify(%);

I use the order linsolve to solve matrix,but it does nothing. It is as follows,

a := matrix([[-k, -c*omega], [c*omega, -k]])

b := matrix(2, 1, [A1, B1])

d := matrix([[M*omega^2-K-k, -c*omega], [c*omega, M*omega^2-K-k]])

f := matrix(2, 1, [A2, B2])

g := matrix(2, 1, [0, F])

h := matrix([[m*omega^2-k, -c*omega], [c*omega, m*omega^2-k]])

dbg1 := evalm(`&*`(d, b)+g)

AB2 := linsolve(a, dbg1)

Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.

1)

y=1-25x^2, and y=0

Find the volume V of this solid.
Sketch the region, the solid, and a typical disk or washer.

2)

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis.

I have a 3x3 matrix called test, I am trying to compute the sum of all the elements of the first line.

 

sum(test[1,j],j=1..3)

Error, bad index into Matrix
 

how to do?

 

thank you

I have a system of nonlinear differential equations with initial conditions: sys := diff(x(t), t) = -4*y(t)*x(t), diff(y(t), t) = -y(t)+2*y(t)^2-4*z(t)*y(t), diff(z(t), t) = -z(t)-2*u(t)*z(t), diff(u(t), t) = -u(t)+2*y(t)*u(t)-4*u(t)*z(t)+2*u(t)^2 ics := x(0) = 1, y(0) = 1, z(0) = 1, u(0) = 1 If I've got the equations right, I should get x(t) = 0.9019 as t -> infinity. How would I solve this system of equations on maple to get an answer for x(t)? I've tried this: dsolve({sys,ics}, numeric) but what I get is this:
<p>I have a line defined by a set of parametric equations and the equation of a plane. I need to plot their intersection. </p>
<p>I can do the math by hand but I am having trouble plotting. Intersectplot seems to expect two surfaces, not a plane and a line. Should I be using something else?  </p>
<p>I'm a complete novice to Maple, I should add, and have just been using it for about five hours over the past two days. I understand how to use spacecurve to create points for a line and then draw the lines (using display3d), and a few other little things but that's it, unfortunately. </p>

Hi all,

i produse an out put file by fortran, i want to draw it 3d. but i just able to plot it as the matrix that it is not usefull for me,like these:

Hello,

I have some trouble with specifying an optimization problem in NLPSolve (package Optimization).

This is the situation: the Maple help specifies 3 ways of calling NLPSolve. Algebraic, Operator and Matrix form.

I can't use the algebraic form for this problem.

I tried using the Matrix form but the problem is that I have a few linear constraints which can't be represented using a matrix (A) and a vector (b) (the linear constraint typically is Ax = b)

I need to solve this equation:

 

2*(diff(R, t))*sin(theta)*sin(phi)*(diff(phi, t))+2*(diff(R, t))*cos(theta)*cos(phi)*(diff(theta, t))-2*R*sin(phi)*cos(theta)*(diff(theta, t))*(diff(phi, t))+diff((diff(R, t))*cos(phi)*sin(theta), t)-R*sin(theta)*sin(phi)*(diff(diff(phi, t), t))+R*cos(phi)*cos(theta)*(diff(diff(theta, t), t))-R*cos(phi)*sin(theta)*((diff(theta, t))^2+(diff(phi, t))^2)+R*sin(theta)*cos(phi)*e^(-R^2) = 0

 

 

how would I do this?

It seems the exponential function needs all arguments in order to be evaluated: a := .2*exp(A[1, 1]+A[1, 2]); A[1, 1] := 2; evalf(a); 0.2 exp(2. + A[1, 2]) However, I would like to be able to see Maple evaluate as much as it can, ie, the above command should give: 1.4778*exp(A[1,2]) Where 0.2 was multiplied by exp(2), and the rest of the exponential was left symbolic. Is there a way to force maple to do this without having to manually factor anything ? Thanks
How I do this? I've plotted three separate inequalities using the "inequal" command. But now I want these inequalities to be represented on the same graph. For instance, I want to plot say: inequality1 OR inequality 2 OR inequality 3 and see how the three regions/inequalities relate. Any help very much appreciated.

Hello,

I`m a new Maple-user and I have some troubles with finding real zeros of a complex function/equation. Suppose that I have let me say CylinderD(n,a)*CylinderD(n,I*a)+exp(I*n*Pi/2)=0 , where a =2.0 and I=sqrt(-1)  and I want to find out the real zeros for this equation. I can count the zeros by using Rouche theorem and argument principle but I need more. Also, I tried to find the roots of a function CylinderD(n,I*a) by using maple and I couldn`t obtain it. Do you have an idea ? Thank you for your help.

Does any one know how to find the ratio?

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