MaplePrimes Questions

Hello

I was trying to place the legend of a plot inside of it, and skimming through this site I found a solution based on a textplot, something like this:

plot(loglogplot1, loglogplot2, loglogplot3, loglogplot4): #just the functions to plot

textplot({[placement, 'typeset'(beta=10-9 ),color=black],[...],[...],[...]}): #just the value of beta changes

plot([placement],x=4..6,color=[black,blue,red,green],linestyle=[solid,dash,dot,dashdot]):

Hi comrades. I am trying to do something like this
plot3d( fsolve( x^2 + a*x + b =0, x), a=0.1..5, b=0.5..3);
(this is not what I'm actually doing, I want to make a 3D plot of a more complicated function that uses fsolve, so don't just suggest the quadratic formula!).

I.e. plot the root of an equation as a function of some parameters in the equation.

It's not plotting because it says
"Error, (in fsolve) {a, b} are in the equation, and are not solved for"

Hello,

I have the following problem:

My function is defined by the determinant of 2 Heun functions

If I plot the phase I get something which looks quite what I'm looking for.

To get a better result I thought I would manually carry out the Wronskian as far as possible...

Doing some manipulations I get another form of the Wronskian which in fact should give the same result...

the problem is it doesnt :-(

I've added the spreadsheet....

In the solution set linked to above, I would like to replace each instance of the constant sqrt(k*(m[2]+m[1])/(m[2]*m[1])) with ω. I feel that this should be possible with algsubs, but cannot figure out the proper...

Hello,

I am facing the error message "Error, (in factors) Bad inputs to diophant." raised by a call to

factors(p, {I, sqrt(3)}) 

for a polynomial p in 7 variables (with integer coefficients). Unfortunately, the error is not reproducible: After some thousand calls to factors (with different polynomials) this error suddenly occurs.

  1. Interestingly, it does not depend on the actual polynomial,...

I know how to solve system of differential equations numerically, but now I want to know how to set a bound on the solutions. 

For example, if my system of DE is like this:   dx/dt = x+y   dy/dt = x-y    , solve x and y in t. 

I can solve this without any restriction on x and y, now I need to know how to bound x and y, e.g. x can only fall in the interval [0,1]

 

Thank you very much!

Hi, I am trying to do the calculation with a matrix, and I have hard time to find a way to calculate the Moore-Penrose generalized inverse of a matrix in Maple. Could anybody help me?

I have a solution with RootOF(_Z^6+....). I do not need to find the roots explicitly(I know that I should use 'allvalues' to find the roots). My question is "Is it okay if I use RootOF(...) expression in another equation without finding the roots explicitly? I mean does RootOF(_Z^6+...) stand for all its roots and can it be used for each roots?"

Thank you in advance.

Anybody has a hint on how to solve a non-linear system with trigonometrics. I want to solve x, y and z.

How can I use factor in equations?

For example:

x^6+y*x^4+z*x^2-g*x^4-3*x^6====>-2*x^6+(y-g)*x^4+z*x^2

or

a*cn+w*dn+e*cn+f*dn=====>(a+e)*cn+(w+f)*dn

These examples are very simple.

Thank you

How do you graph y''+8y'-9y=0?

How do you graph 4y"-y=0?

And for these i need to sketh the graph of the solution solution and describe its behavior as t increases.

 

 

with Maple?

Hi all,


I must confess I'm a perfect novice in Maple as I'm used to work with Matlab. I have a 3d differential equation, namely:


dM/dt+gamma*mu[0]*`&x`(M, H[eff])-G/(gamma*M^2) *`&x`(M, dM/dt)= 0

The components of M should be of the form M_{i0} + dM_i(t) where M_{i0} is a constant and dM_i(t) a function of t, i = 1, 2, 3. And...

Hi,

 

I was wondering, suppose I have an ordinary differential equation, y''(x)  + y(x) - y(x)^3, and that the RHS is equal to zero (Duffing type equation).. Is there any way to declare this as in Maple, such as,

y''(x):=y(x)^3-y(x);

so that any time Maple sees y''(x) + y(x)-y(x)^3 in an expression, it will replace it with zero? I have tried the above, but it receive an error which says, "error, illegal use of an object as a name." 

Hi!

I am a mechanical engineer.

I want to differentiate a potential energy functional (a multivariable functional combination of integrals) in the variational calculus to get the Euler-Lagrange equations and boundary conditions and then to solve ODE's and PDE's to get a closed form solution.

The form of PE:=F(x1,x2,x3,w1(x1,x2,x3),w2(x1,x2,x3),w3(x1,x2,x3),diff(w1,x1),etc...)

Interested in getting diff(F,w1)  and diff(F,diff(w1,x1)).

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