ODE2 - Not a proper differential equation?

ODE2 - Not a proper differential equation? - Messages

#1 Posted: 10/7/2024 3:12:57 PM
Cornel

Cornel

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Hi,

Why is saying that its not a proper differential equation?

1.png

2.png
#2 Posted: 10/7/2024 5:20:54 PM
StvMath

StvMath

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Wrote

Hi,

Why is saying that its not a proper differential equation?

2.png




ODE2.png

#3 Posted: 10/7/2024 5:56:58 PM
Cornel

Cornel

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ODE2.png




And then if someone wants to solve a > 2 order differential equation (3th order, 4th order, etc), how to do it? What algorithm, command should I use/rely in SMath Studio?
#4 Posted: 10/7/2024 6:18:13 PM
Вячеслав Мезенцев

Вячеслав Мезенцев

1402 likes in 1708 posts.

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maple-dsolve-diffn.jpg
Russia ☭ forever, Viacheslav N. Mezentsev
#5 Posted: 10/7/2024 6:57:17 PM
Cornel

Cornel

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And there are also some approach using maxima engine/command?
#6 Posted: 10/8/2024 3:11:16 PM
Martin Kraska

Martin Kraska

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Wrote

And there are also some approach using maxima engine/command?



Sure. Here is one using Maxima's desolve function and one using ODE.2 (without solving for the integration constants)

RLC.png
RLC.sm (23 KiB) downloaded 31 time(s).
Feder-Masse.png
Feder-Masse.sm (23 KiB) downloaded 34 time(s).
Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
#7 Posted: 10/9/2024 2:42:41 PM
Cornel

Cornel

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Martin, do you have an example for a third order differential equation on how to solve it? because ode2 is limited to second order differentia eq as far as I understood. And my previous question was on how to sollve a differential eq of order > 2 (3, 4, etc)?
#8 Posted: 10/9/2024 6:47:10 PM
Martin Kraska

Martin Kraska

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Here I cirumvent the limitations of the translation using multiple intervals of integration. Example from the interactive handbook.

Worksheet36.sm (40 KiB) downloaded 36 time(s).
Worksheet36.png
Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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