9 years, 0 days

## Appreciation...

Thank you for the adjustment and your time. The suggestion is insightful.

One more thing! If I want the legends within the graph, how do I accomplish that?

Kind regards.

## Appreciation...

Thank you so much. Your methodology is an eye opener.

Accept my best regard as always.

Kindly see the worksheet under my reply @ acer.

Thank you and kind regards

## Difficulty in writting independent code ...

Thank you for your reply. I wanted to write an independent code different from the Maple inbuilt package for numerical. However, met with difficulty. The exact and numerical in my code do not agree.

Kindly see the attached for your perusal and possible modifications and enlightenment

 restart: e1:=y[n+1]=y[n]+h*f(n): inx:=2:     h               Num.y                Ex.y             Error y  0.10        5.1000000000        6.8858944423                1.79  0.20        5.2100000000        6.4496474644                1.24  0.30        5.3290000000        6.0739473917               0.745  0.40        5.4561000000        5.7530324244               0.297  0.50        5.5904900000        5.4816890703               0.109  0.60        5.7314410000        5.2551999668               0.476  0.70        5.8782969000        5.0692966676               0.809  0.80        6.0304672100        4.9201169227                1.11  0.90        6.1874204890        4.8041660239                1.38  1.00        6.3486784401        4.7182818285                1.63

.

## Thank you...

Thank you. The different suggestions are appreciated.

## Thank you...

@acer

Your suggestion is very useful. Thank you. It is appreciated.

However, I will appreciate it if I can learn some other ways to get the same effect from you.

Thank you and kind regards.

## Thank you...

Thank you so much for your time. It is appreciated. Can you kindly include in the code the Matrix representation of the coefficients of the system of ODEs just immediately after " sys := { seq(eq__i, i=2..n-2) } union bc_left union bc_right: "? It would be appreciated. Thank you in anticipation of your positive response and best regards.

## Thank you...

@acer Thank you so much. It is appreciated.

## Appreciation...

Thank you it is appreciated

## Thank you...

Your Suggestion is  highly apprciated. Thank you and kind regards

## THANK YOU...

@acer Thank you very much. I really appreciate your suggestion and value the time you spent on it.

## THANK YOU...

@Kitonum I really appreciate your suggestion. However, I have applied the "allvalues" command before settling for the line b the results dont just make any sense to me (too long and some contain imaginary) which shouldnt be.

## THANK YOU...

@acer Thank you and kind regards

## THANK YOU AND REQUEST...

Your suggestion and correction is appreciated . I have view questions as I am new to some of the command used in the correction

1. What is the function of

 kernelopts(version);

2. Is it possible to display the final resuts " all2 " one after the other as contained in the original code. i.e alpha[1],beta[0],beta[1],beta[2],gamma0,gamma1,gamma2 separately and on separate lines. Your suggestion will be highly appreciated.

Thank you and kind regards.

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