## How i do find a real roots for equation system dim...

hallo every body

please how i do find a real roots for this equation system

roots.mw

## Why square roots are not simplifying in a fraction...

Please see the attached file; I'm attempting to do some calculations with the 'PDETools' package; notice the first term in equation (4), where sqrt(x2+y2) is not canceling in the fraction, despite using the 'simplify' command; why is this happening, and how can I achieve complete simplification?

Ques_Mapleprime.mw

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## Plot RowSpace of a 2-by-3 Matrix in 3D...

Consider matrices A and B below; how one can plot basis vectors of column space in 2d, and plane or line spanned by basis of row space in 3D?

with(LinearAlgebra):
A := Matrix([[2, 3, 5], [1, 2, 7]]);

ColumnSpace(A);
RowSpace(A);

B := Matrix([[6, 4, 2], [3, 2, 1]]);

ColumnSpace(B);
RowSpace(B);

## How to extract the values of D(h)(0) for two diffe...

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convODEPlot.mwODEPlot.mwert/ODEPlot.mw .

## avoid jumps in log() of complex-valued function...

Hey everyone!

I have a complex function stored in a file (Comp-func.txt). The function is continues everywhere on the real axis (X-axis.txt). However, its log shows a jump somewhere close to x=-1.5. I would like to understand how Maple interprets this "jump" and how to avoid such numerical artifact.

thank you.

Jump-Log-Func.mw

X-axis.txt

## Problem with solving an integral...

Hi guys,

I can not solve this integral with maple ! I really appreciate if someone can help me! Mathematical gives a solution in terms of hypergeometric function!

p^2 , m, \epsilon, D > 0 and i is imaginary number

Thanks 111.mw

## Error during integration...

I was computing an integral (Running Maple 18 on Windows 10):

The classic lenght of arc Integral of sqrt(1+(dy/dx)^2) dx

In this case, the function was a cartesian circle (x-R)^2+y^2=R^2 isolated as y=sqrt(R^2-(x-R)^2)

When I do the integration, the result of the integral is not correct.
But if I change R for a, the result is correct. Why? This does not make any sense.

R wasn't assigned to any variable. The code was:

Good Integral

[>y:=expand(sqrt(a^2-(x-a)^2));
[>f:=expand(simplify(sqrt(1+diff(y,x)^2)));
[>S:=int(f,x)+K;

Wrong Integral

[>y:=expand(sqrt(R^2-(x-R)^2));
[>f:=expand(simplify(sqrt(1+diff(y,x)^2)));
[>S:=int(f,x)+K;

In fact, any UPPERCASE letter used as the radius gives me the wrong answer whereas any LOWERCASE letter gives me the proper result. Why is this?

Thanks and have a nice day

## Why are symbols and indexed names handled differen...

Input:

a := x^2;
whattype(x);
b := x[1]^2;
whattype(x[1]);
CodeGeneration[C](a);
CodeGeneration[C](b);

Output:

Do you know why cg0 =/= x[0]*x[0]?

## How can i plot the phase portrait of a nonlinear d...

Hi everyone, how can i plot nonlinear phase portraithere k,w, alpha,K, k, gamma, beta are arbitrary constants and i have three equilibrium points:

How can I plot these phase portraits? Thanks in advance.

## Is it possible to disable the automatic conversion...

Greetings!

For factorization and computing times purposes, I'd like Maple to not perform this automatic conversion.

gives

while gives

Alternatively, a way to factorize into could do the trick.

Here's a list of the functions I've already tried:

• factor
• collect (so coeff too)
• combine/expand

Any ideas?

Thank you!

## Unable to plot/vary a variable with respect to eig...

Hello. Please help me. I need to calculate the integral (3). This integral has many singular points at which there is convergence in the sense of the principal Cauchy value. The Maple integral itself does not count. I don't understand how to find automatically all the singular points on the integration area. Then, perhaps, it would be possible to split the integral into the sum of integrals by regions, as I roughly wrote in the picture. I want to automate this process, because in fact it is necessary to calculate many integrals of the form (4), where f(x,y) are arbitrary functions that can oscillate strongly, so I don't want to write banal quadrature formulas. I would like to use the means of Maple, since the accuracy will be greater and faster, but we need to somehow bypass the special points. I will be glad of any help. Thank you very much

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