How to apply initial conditions in second-order differential equations

How to apply initial conditions in second-order differential equations - How to apply initial conditions in second-order differential equations - Mensajes

#1 Publicado: 7/12/2025 3:59:55
kimkim

kimkim

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How to apply initial conditions in second-order differential equations

The solution to the second-order differential equation has been obtained as follows.

ODE_1.png

If we want to find the solution by applying the initial conditions y(t)=0, y'(t)=0,

what should I do in the following steps?

thank you for your help.
Editado 7/12/2025 6:53:24
#2 Publicado: 7/12/2025 9:07:00
StvMath

StvMath

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Once you've got y(t) you could simply do the following:

kvals.png
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kimkim 7/12/2025 21:41:13
#3 Publicado: 7/12/2025 12:54:45
Martin Kraska

Martin Kraska

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If you don't need the function v(t), you can specify the initial conditions directly: (example 10.2 in https://github.com/sn-code-inside/Technische-Mechanik-mit-SMath)

grafik.png
Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9
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sergio 7/12/2025 17:07:45, kimkim 7/12/2025 21:41:18, ioan92 9/12/2025 10:52:27
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