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

[PR_9168273]

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

[Werner_E · Accepted solution]

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

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

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

Prime 10 worksheet attached

[o.svahn]

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

Owe

[Werner_E]

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@o.svahn wrote:

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

Owe

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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 😉

[PR_9168273]

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

[LucMeekes]

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

is:

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

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

Success!
Luc

[PR_9168273]

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