How to insert a file inside another file, creating a session, without equations with the same name conflicting?

Hi,
I have an equation and I want to solve it parametrically to find x , but I couldn't do that with "solve" command. (I know x should be  real and positive). What should I do?
Root_of.mw

Hi. 

I am trying to solve a polynomial equation but the structure leads Maple to return a trivial solution and the other solutions are given as a RootOf expression. The equation involves a single variable, x, that is raised to a power, b and a multiplier, a (both are positive-valued). Please see attached worksheet.

I have not encountered this before and I cannot find a way to get to an explicit solution. Perhaps it is not possible (?).

Does anybody know how to deal with this? 

Thanks in advance ...

Roots_of_a_Polynomial_MaplePrimes.mw 

Good day, all.

I would like to explore the structure of the discrete modified form of the logistic equation.

In particular, I wish to plot the logistic-map to investigate the bifurcations of the system.

Is there a routine available in Maple that I can use?

I would like to consider the standard logistic equation with the inclusion of a shape parameter, m, introduced as a power law.

That is:

f(x) = a*x*(1-x^m)

where a > 0 denotes the growth rate, and m > 0  is a shape parameter. I wish to fix the value of a and take m to be the bifurcation parameter (so the logistic map would show m versus x for any given a).

Please note: The standard logistic equation (in discrete form) is given by f(x) = a*x*(1-x)

I would be grateful for any advice and support you can provide and I thank you for taking the time to read this.

Drear freinds,

I want to simplify f (a long experssion) in the form of f2. How to determine M1^2 and M0^2?

f1.mw

Hi,
How can I remove the mentioned error in attached worksheet?

s1.mw

Dear sir,

In the given problem, eta = 0 to 20, I want the table value of eta for a step size of 1000 (0 to 20 in thousand parts).

i have calculated only for one value, zero

Download Demo_paper_work.mw

Consider the equation  (2^x)*(27^(1/x)) = 24  for which we need to find the exact values ​​of its real roots. This is not difficult to solve by hand if you first take the logarithm of this equation to any base, after which the problem is reduced to solving a quadratic equation. But the  solve  command fails to solve this equation and returns the result in RootOf form. The problem is solved if we first ask Maple to take the logarithm of the equation. I wonder if the latest versions of Maple also do not directly address the problem?

restart;
Eq:=2^x*27^(1/x)=24:
solve(Eq, x, explicit);

map(ln, Eq); # Taking the logarithm of the equation
solve(%, x);
simplify({%}); # The final result

How to get the animation graphs for eta =0..10

Download ode_plots_animation_graphs.mw

i need like this demo plot  

I want like this plots here two phase are there boundary is -2 to0 and 0 to 2

f(±2)=0,g(±2)=0,f(0)=1,h(±2)=1,H(±2)=1

Is it possible to simplify the following relatively simple expression  (10*(5+sqrt(41)))/(sqrt(70+10*sqrt(41))*sqrt(130+10*sqrt(41)))  using 1-2 standard commands  simplify , combine, radnormal  and so on?   I was unable to do this in Maple 2018. Maybe newer versions of Maple will be able to handle this. I managed to simplify it in 3 steps:

expr:=(10*(5+sqrt(41)))/(sqrt(70+10*sqrt(41))*sqrt(130+10*sqrt(41)));
sqrt(simplify(expr^2));

Please Help me to solve this problem 
 

Download ode_Plots_error.mw

P1=(D1*ga+C1)/(1+ga) and P2= (D1-C1)/(1+ga), How to substitute in the solution of U_exact and Theta_exact

Please help me to solve

Dear sir ,

I have implemented Dsolve method the code was executed, but i need to apply Kellor Box method to solve the ODES 

Please can any one help how to implement? 

because there is no post regarding the Kellor box method. 

Download kellor_box_method.mw

Hi,
I have a problem and I haven't been able to solve it yet. I want to solve an ordinary diffrential equation similar to
                                                                                                   (dphi/dxi)^2+2*V(phi)=0
and plot phi versus xi for a the following conditions:
1) V(phi)=dphi/dxi=0 at (phi=0,phi_m) and
2) dV(phi)/dphi=0 at phi=phi_m and 
3) d^2V(phi)/dphi^2=0 at both phi=0 and phi=phi_m.
How can I do this by Maple?(see the attached file)
w1.mw