I got this problem from my proffesor : Provide a MAPLE procedure which plots ANY curve C given by a pair of Cartesian implicit equations { f(x,y)=0 & g(x,y)=0 }, without plotting as well the two surfaces ( f=0 and respectively g=0 ), which provide C by their intersection (just the curve C has to appear as output). Do NOT attempt to parametrize the curve; use the MAPLE plotting functions for Cartesian plots. Example: C: { x^2+y^2+z^2-1=0 and z=0 } is a circle in the xOy plane; plot the circle, but not the sphere or the plane which provide C.

Hi everyone, I am trying to solve an ode like this: diff(y(x),x,x)=-(1+0.2*cos(x))*sinh(y(x))+0.3*cosh(y(x)), the only boundary condition I want to impose is y(0)=y(2*Pi),Dy(0)=Dy(2*Pi). Anybody knows about it? Thanks!

hey :) i have a set of equations on the form in the example below. i included my attempt at a solution which, as you might suspect, does not give me the answer on the form i want. what i want is to solve this assuming that the coefficients for each term in the polynomial of u and v sould be equal. eq1 := a1*u^2 + (a4 + 3 + 2*a6)*u*v + a3*v^2 + (a1 + a2 + a6)*u + a5*v + a6 = 5*u^2 + 7*v; solve(eq1, {a1,a2,a3,a4,a5,a6}); this example would for example have the solutions: a1 = 5 a2 = -5 a3 = 0 a4 = -3 a5 = 7 a6 = 0 but if you type the code ive written into maple, youll see thats not what i get at all :)

hi! Could somebody tell me if Maple has the capability of solving Partial Differential Equations using the method of Separation of Variables. Thanks, Raj

Hi: The following statements (output from a previous Maple calculation) results in a computer "freeze" when run under the latest version of Maple10 (Classic Worksheet) on a Windows XP machine. Definition: "freeze" - cursor halts midscreen and the machine refuses to respond to any keyboard commands, including ALT-CTRL-DEL 1. Can anyone reproduce this? WARNING - do not run this program if you have other windows open with data you want to retain. 2. Can anyone suggest how I can get the terms (1/x)^(-n1) and x^(-n1) to cancel? I've tried "simplify", "collect" and "combine" without success.

Dear Sir/Madam:

I try to find a close form for A^k,
where k is an arbitrary interger and A is 2 by 2 matrix as the following:
A = ([[r1*X, (1-r1)*X],[1-r2,r2]]);
r1 and r2 are symbolic constants, X is a variable.

First, I run the following commands in maple:

A:=matrix([[r1*X, (1-r1)*X],[1-r2,r2]]);
Z3:=A^3;
simplify(evalm(Z3),symbolic);

I hope to simplyfy the entries of Z3 in the order of X, i.e.,

z11 = a0*X^3 + a1*X^2 + a2*X +a3;
z12 = ....... (the same as the above)
z21 = .......
z22 = .......

But I do not know how to do it.

I try to find a law for representations of the entries of A^k by looking at the cases k=3,4,....

I am calculating the standard deviation of an function with StandardDeviation command both symbolically and numerically and I get different result for the symbolic and numeric calculation. The result of the symbolic calculation is wrong. Here is my problem: restart;with(Statistics): X := RandomVariable(Uniform(-Pi, Pi)); f:=1/abs(1-0.5*exp(-I*X)); StandardDeviation(f); # It gives 0, which is wrong. StandardDeviation(f, numeric); Re(%); Any idea?

I have a mechanics question with position given by phi = omega t theta = (1/2)Pi * (1+ (1/4)cos(4*omega*t)) r = b This is to be solved in spherical coords. That's not the problem. I solved this just fine, but I would really like to plot this to see what it looks like! Checking the help pages in maple, it says plot3d expects a function r(theta,phi) (might be the other way around?). So, is there a way to plot my 3 parts, or, failing that, how do I turn that into r wrt phi and theta? Cheers Chris PS. How do you post 2D math? I tried, but nothing really worked?

How can one print the output from the statements executed within a loop as the loop outputs only the last calculation.

I was wondering if anyone could tell me how to plot the direction field of a differential equation. I'm trying to plot ty'+2y=sint. If anyone could give me some advice, that'd be great.

I'm using the cosine function and just read in the help section that the trig functions only take arguments in radians. Is this true ? Is there no way to use arguments in degrees for the trig functions ? v/r, Dan

Hi, If a sentence (as a string) is given with uneven number of spaces in it, how can we smooth it out so that every word is followed by exactly one space. I think this would be solved by Regular Expression in patmatch, but exactly I don't know. Kindly help me. Thanks.

i have two function f(x) and g(x) and i wanna plot them in one plot x=1200..2300, but for f(x) y=0..600 and for g(x) y=0..50. How can i display different scaling y-axis?

Hi, I would like some help with plotting a 2D and 3D graph together. I actually have an equation with two varying parameters and I have displayed a 3D plot.What i want is to set a value for the one parameter and plot the line together with the previous surface, so that I can see where this line is placed on the surface.I provide the example to make myself clearer. Itouch50 := -0.4058074876e13*sqrt(1.+h)/(sqrt(ts)*(-500000000.0*ln((625.+125.*h+25.*h^2+5.*h^3)/h)* sqrt(1.+h)+587311661.7)) Itouch := 474335.0379*h*(10300.*2.718281828^(-3.703703704*ts)+1030.*2.718281828^(-3.703703704*ts)* h+490.*2.718281828^(1/(5.*ts+6.))+49.*2.718281828^(1/(5.*ts+6.))*h)/(51200.*sqrt(ln(100.*h))*h+5120.*sqrt(ln(100.*h))*h^2+25600.+12790.*h+511.*h^2)

Hello, I have never used Maple before and I am working on an assignment but unfortunately class ended before I could ask my professor with some help so I was hoping someone on here might be able to help me out. All I need to do is get the first equation to look like the second equation, I would use the simplify command but I cannot break apart the l(l+1), can anyone help me out?

Equation 1:


Need it to look like this:


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