## Intersection between two curves ...

Dear all

I have two equations

the first one: f1(x)=r*x;

and the second one: f29x)=exp(x);

where r in a real number.

Using maple i try to determine the number of solutions of f1(x)=f2(x) for different value of r.
Using maple,
for r <0 its obvious we have only one solution, but for r =0; No solution
My problem for r>0, using maple I trided to plot different curve but I can not conclude, the number of  roots for each value of r

Number_solution.mw

## Error, invalid neutral operator...

Dear all

How can I plot vector using maple

Maple return the following error

Error, invalid neutral operator
plotvector.mw

Thank you

## Getting the exact result from an exponential opera...

Hello friends,

I'm trying to get the exact result from the following operation:

I'm getting:

for i=0,

for i=1,

for i=2,

I want to get:

for i=0, 1

for i=1, -1/2 + sqrt(3)/2 i

for i=2, -1/2 - sqrt(3)/2 i

Thanks for the light.

## Maple using insert code edit region...

Dear all

I tried to used insert code edit region, to write many subcodes

but no return varibales names.

example, x:=3;

when I run the code, I get only the number affected to x, I would like to get

x:=3

No_return_variable.mw

Thank you

## Integral of continuous function but maple return c...

Dear all

I compute the integral of continuous function but maple return a complexe number.

continuous_function.mw

A continuous function defined on a closed interval its integral is a number, why maple in my case return a complex number

## undefined and defined at the same time...

Dear all

When I compute
int( sin(log(x)),x=0..2)
I obtain an exact value of the integral
but one I compute
int( sin(log(x+1)),x=-1..1)
I obtain undefined integral

The two integrals are the same, using the change of variable z=x+1

Many thinks

## NextZero and a simple example...

It was interesting not to miss the solutions of such a test equation  x * (1 + 1.0001 * sin (x ^ 2)) = 0 on a fairly large arbitrary segment using NextZero.
It turned out that NextZero skips solutions.
For example, solutions in the range from 7.5 to 10 are skipped.  And two more specific solutions skipped 21.232154952 and 21.232821004.
I took Digits to help, but it didn't affect anything. Most likely the reason is that I am a bad user.  The example seems to be a good one.

```restart:
#Digits := 30;
f := proc (x) options operator, arrow; x*(1+1.0001*sin(x^2)) end proc;
RootFinding:-NextZero(f, 1.0):
for j to 154 do RootFinding:-NextZero(f, %) end do```

## Error, invalid =...

Dear all

I have the following proc I, I need a help so that the proc run without error.

I get Error, invalid =

Code_eigenvalues_eigenvectors.mw

Thank you for any help

## flotting point : cannot determine if this express...

Dear all

I run a code But I obtained the following error

Error, (in PW) cannot determine if this expression is true or false: (1/4)*10^(1/2) < 0.1000000000e-3

and  how can I display all iterations obtained from  PW and WDEF2 in a table.

PWW.mw

Thank you for any help

## plot solution of system of differential equation ...

Dear all

I need to plot the solution obtained from dsolve for a system of differential equation

plot_analytical_solution_system.mw

Thank you for any help

## How to draw a streamline by using stream function ...

How to draw a streamlines by using stream function provided in pdf. In the presence and absence of lambda parameter.

## bifurcation diagram plot ...

Dear all

I compute by hand the bifurcation point of an ode,
I fouded x=-1/2 a+ 1/2 corresponding to  h= (a+1)^2/4  with 0<a<1

The same solution is obtained using Maple code.
I tried to plot the birfurcation diagram to stech with kind of bifrucation ( saddle, Holf . transcritical , periodic, or someting else)
But I get
Error, (in plots/implicitplot) invalid input: invalid range for first variable

bifurcation_diagram.mw

thank you for any help

## substitute function in PDEs...

Dear all

I have a PDEs depend on u1(r,z)
I would like to decompose u1 as sum of two function c1*r*U(z)+u(r,z) and  , where c1 is constant,  then i would like to substitute u1 in the pde by   c1*r*U(z)+u(r,z) then obtain the corresponding new equation

subs_function.mw

thank you

## root(x,3) behavior ...

Dear all

I try to understand why maple does ot plot the behavior of x^1/3 for negative real number,

inverse_function_xthree.mw

root(x,3) is function defined verywhere, but why maple plot only this function for x positive

thank you

## pdsolve and iterative gives slight different curve...

Dear all

Strange phenomena...Every thing is well coded.
Using numeric solution pdsolve and  and solution based on iterative solution, gives a slighty different curve..

All matrices are well coded, and everything is okay... But  what happen... to get two different curves at same time.

New_code.mw

Thank you for any help

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