Suppose we have two equations, and all parameters involved are assumed to be positive. Is there a systematic way or syntax to determine whether C1>C2​ or vice versa? Additionally, can we derive specific conditions under which C1>C2​ holds?

Sheet: Q_greater.mw

I need to create a slider plot for A10, A11, and A12 by varying the parameters theta, Pu, and a.
I have a syntax ready — could you suggest modifications to make it work correctly and generate the plot?

Additionally, is it possible to compute the values of A13 and A14 by substituting the obtained A10, A11, and A12 values for each combination of theta, Pu, and a from the slider plot?

Sheet attached: Slider_Q.mw

I have two conditions, A and B, which must both be greater than or equal to zero. However, when I try to solve the problem, I encounter an error.

Could you please help me resolve this?

Note: All the parameters, whether specified or not, are positive and greater than zero.
File : Q3.mw

I want both Pc and r(Pc) to be greater than or equal to zero. The only constraint is that all parameters for which I’ve provided data must remain positive. Can we identify the key parameters that significantly affect Pc? Also, what condition ensures that Pc ≥ 0? Ideally, I’d like Pc to be less than or equal to Pu. Could you suggest what changes in the numerical values I should make to ensure Pc becomes a positive value?

Attaching file: Q2.mw

Can we include a graph that shows how Pc changes with respect to variations in the most sensitive parameters?

I’m trying to simplify the results I obtained from two scenarios. In the first scenario, I have results labeled g1,g2,g3​, and in the second scenario, I have g_1, g_2, g_3​. The issue is that the expressions are quite lengthy, and I want to shorten them by identifying and substituting common sub-expressions.

Is there a method or syntax that can help me automatically detect repeated terms and substitute them with a variable to improve readability?

For example:

Let’s say:

x=2f+3d+4(d+h+k)j+f

y=1(d+h+k)+hf+4d

Here, the expression d+h+k appears in both x and y, so I can define a new variable:

A=d+h+k

and substitute it into the equations to make them more concise and readable.

Attaching the sheet: Difference_two_model.mw

I have two equations on either side of an inequality that contain like terms such as Am and Ce. Could you simplify the expressions by mathematically eliminating these common terms from both sides? For example, if we have an equation like x+y⋅d+hx=g⋅f+hx , it simplifies to x+y⋅d=g⋅f.

Additionally, please solve for Cv and Ce.

Note: All terms are positive except R0er and R0m​.

I am attaching the relevant sheet for reference. Q_12.mw

Could we create a plot with tau0 varying from 0.1 to 0.6 on the x-axis and profit on the y-axis displaying Rprof, Mprof, Tprof, T_Cprof all on the same graph?

Sheet attached : trial_question.mw

I would like the graph to display the optimal point clearly marked with a red dot. Additionally, the optimal point should be labeled for easy identification. what is the syntax for it.
The  sheet is attached below :
trial_question.mw

ContoursWithLabels(............................, labels = ["delta0", "s2"]);

how to make delta₀  and s₂ ? and delta should be symbol not word?

The maple worksheet shows an incorrect evaluation of the integral in (1) which is a standard integral representation of a Bessel function.  Equations (2)-(5) along with the graph show the incorrectness of the evaluation.  What is going on?

Bessel.mw

I have a set of four equations along with specific parameter values provided in the dataset. I need to create a graph where I can dynamically adjust the values of parameters g2 and y within the specified range given in the sheet.
question_plot_slider.mw

Could you provide a maple code that allows for this flexibility, ideally with interactive controls (like the slider buttons shown in the example figure)

Hi all

I would like your help to represent the states of the ODE according to the parameter "a" for t=0..10 and a=0..5.
I can do this for a value of t=200.

enfonction_p_2_cas1.mw

I have solved a simultaneeous equation for a variiable s. I have used command solve. Can i see what happens in background, Each step by which the equations are solved.

I got answer s=j. But how i got it can i see

attaching the sheet: Q_3.mw

Draw 3D graph, if values are given as below (What is the syntax?)

Sl no          x-axis      y axis     z axis
 

                                                        
 1,             80,           1,            1.80074340195803263                                                    
 2,             80,           2,            1.79160585795803287                                                      
 3.           80,             3,           1.78054462095803290                              
 4, 80, 4, 1.76755968995803269                
  5,80, 5, 1.75265106495803280            
  6,80, 6, 1.73581874695803272                            
 7, 80, 7, 1.71706273595803272                        
  8,85, 1, 1.71097991748770582                                                    
  9, 85, 2, 1.70184237348770577                                             
  10, 85, 3, 1.69078113648770581                                                   
  11, 85, 4, 1.67779620548770559                          
  12, 85, 5, 1.66288758048770571                      
  13, 85, 6, 1.64605526248770562                            
  14, 85, 7, 1.62729925148770591                          
  15, 95, 1, 1.53550477309879818                          
  16, 95, 2, 1.52636722910871089                            
  17, 95, 3, 1.51530599205435690                              
  18, 95, 4, 1.50232106105435669                            
 19,  95, 5, 1.48741243605435680                              
  20, 95, 6, 1.47058011805435672                            
 21,  95, 7, 1.45182410705435672                    
 22, 100, 1, 1.44826461660029512                          
 23, 100, 2, 1.43912707260029623                          
24,  100, 3, 1.42806583560029569                          
 25, 100, 4, 1.41508090460029576                          
 26, 100, 5, 1.40017227960029588                    
 27, 100, 6, 1.38333996160029579                        
 28, 100, 7, 1.36458395060029579 

When i am solving for delta...its taking so much time? And the simplyfying command not working showing error
Attaching sheet: Q_simplify_solv.mw