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lvl10720-Turquoise
20-Turquoise
April 10, 2025
Solved

Simbolic solve ?

  • April 10, 2025
  • 1 reply
  • 1142 views

Hello Everyone.
From :

1.PNG

To : " Is it possible to symbolic solve, x , y , the above ? "
Thanks in advance for your time and help.
Regards.

Best answer by Werner_E

Yes, muPad in MC15 does also not find a solution if z is undefined.

Interestingly Prime 10 is able to do so, but the solution (once again) is too large to get displayed, similar to what Luc had already shown.

Nonetheless the result can be assigned a function which then can be evaluated numerically.

Prime will also allow the display of the symbolic evaluation of single elements of the result matrix,  but the expressions are really huge and Primes symbolics is not able to simplify them in a reasonable way, after all it looks that S[2,0 should simplify to 1 and the corresponding y-value at least to

Werner_E_3-1744330403511.png

 

Here is what Prime comes up with:

 

Werner_E_0-1744328856570.png

Here are the symbolic results of the real valued solution in its full length:

Werner_E_1-1744328903783.png

Werner_E_2-1744328922339.png

 

EDIT: The above pictures were taken individually (Prime does not allow more) by copy & paste and I just realized that the quality is abysmally bad. Copy & paste in Prime is simply a tragedy and the developers should be sent to the desert for such a disaster.
I am therefore attaching a high-resolution screenshot - must be downloaded locally because the image viewer of this forum reduces the resolution in an unusable way.

 

1 reply

L
LucMeekes23-Emerald IV
23-Emerald IV
April 10, 2025

There are three different solutions to the problem:

LucMeekes_0-1744319686123.png

Given z as:

LucMeekes_1-1744319707249.png

their numerical values are:

LucMeekes_2-1744319726448.png

Success!
Luc

    L
    lvl10720-TurquoiseAuthor
    20-Turquoise
    April 10, 2025

    Many thanks, Luc. ðŸ™„ ðŸ¤” ðŸ˜Š.

    2.PNG

    Best Regards.

    W
    Werner_E25-Diamond IAnswer
    25-Diamond I
    April 10, 2025

    Yes, muPad in MC15 does also not find a solution if z is undefined.

    Interestingly Prime 10 is able to do so, but the solution (once again) is too large to get displayed, similar to what Luc had already shown.

    Nonetheless the result can be assigned a function which then can be evaluated numerically.

    Prime will also allow the display of the symbolic evaluation of single elements of the result matrix,  but the expressions are really huge and Primes symbolics is not able to simplify them in a reasonable way, after all it looks that S[2,0 should simplify to 1 and the corresponding y-value at least to

    Werner_E_3-1744330403511.png

     

    Here is what Prime comes up with:

     

    Werner_E_0-1744328856570.png

    Here are the symbolic results of the real valued solution in its full length:

    Werner_E_1-1744328903783.png

    Werner_E_2-1744328922339.png

     

    EDIT: The above pictures were taken individually (Prime does not allow more) by copy & paste and I just realized that the quality is abysmally bad. Copy & paste in Prime is simply a tragedy and the developers should be sent to the desert for such a disaster.
    I am therefore attaching a high-resolution screenshot - must be downloaded locally because the image viewer of this forum reduces the resolution in an unusable way.

     

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