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PR_91682735-Regular Member
5-Regular Member
April 16, 2024
Solved

MathCAD Prime 9.0/10..0 Differential Equation Second Order

  • April 16, 2024
  • 2 replies
  • 2198 views

Hello Community Members,

 

I would appreciate your help in fixing the solution to a second order differential equation. 


I am attaching the spreadsheet I created in Mathcad 10.


Thanks in advance for a timely feedback!
Best regards, Peter

Best answer by Werner_E

The correct syntax is y:=odesolve... and not y(t):=...

But the main problem is the fact, that M and F0 are vectors and not scalars!

For every line in the vectors M and F0 you would get a different function x!!

Here as an example I have chosen index 1001

Werner_E_0-1713261884719.pngWerner_E_1-1713261894095.png

 

You may also parametrize the solve block with the vector index.

Werner_E_2-1713262343055.png

Now you could show a few of the 4000 different functions in one plot

Werner_E_4-1713262532893.png

Prime 10 worksheet attached

 

 

 

2 replies

W
Werner_E25-Diamond IAnswer
25-Diamond I
April 16, 2024

The correct syntax is y:=odesolve... and not y(t):=...

But the main problem is the fact, that M and F0 are vectors and not scalars!

For every line in the vectors M and F0 you would get a different function x!!

Here as an example I have chosen index 1001

Werner_E_0-1713261884719.pngWerner_E_1-1713261894095.png

 

You may also parametrize the solve block with the vector index.

Werner_E_2-1713262343055.png

Now you could show a few of the 4000 different functions in one plot

Werner_E_4-1713262532893.png

Prime 10 worksheet attached

 

 

 

    O
    o.svahn12-Amethyst
    12-Amethyst
    April 16, 2024

    Is Prime 10 released ? - was not aware of this.

     

    Owe

     

     

    W
    Werner_E25-Diamond I
    25-Diamond I
    April 16, 2024
    @o.svahn wrote:

    Is Prime 10 released ? - was not aware of this.

     

    Owe

     

     

    Yes it is. I wasn't aware of it , either, until I noticed this post
    https://community.ptc.com/t5/Mathcad/MATHCAD-User-defined-functions-in-FORTRAN/m-p/943397/highlight/true#M211221

    and (successfully) tried to download P10 and get a new license file generated 😉

    L
    LucMeekes23-Emerald IV
    23-Emerald IV
    April 16, 2024

    The simpler approach is the fact that the solution for the ODE:

    LucMeekes_0-1713271447681.png

    is:

    LucMeekes_1-1713271809041.png

    And with: x(0)=0 and x'(0)=0 the two constant C0 and C1 are each zero, so:

    LucMeekes_2-1713271935769.png

    And with this you can plot x(t) for any values of F and M.

     

    Success!
    Luc

     

      P
      PR_91682735-Regular MemberAuthor
      5-Regular Member
      April 17, 2024

      Hello Luc, thanks for the valuable feedback! Best wishes, Peter

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