Ode symbolic solution with IC

Ode symbolic solution with IC - How to solve? - Messaggi

#1 Pubblicato: 01/07/2023 05:56:48
Valery Ochkov

Valery Ochkov

67 apprezzamenti in 713 post.

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See please one ODE symbolic solution without IC
dsolve.sm (4,93 KiB) scaricato 1492 volta(e).
dsolve.png
#2 Pubblicato: 01/07/2023 07:55:36
Jean Giraud

Jean Giraud

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Wrote

See please one ODE symbolic solution without IC


We have it done for exporting formula c/w constants & IC
Jean

ODE_Laplace 2nd [Type 3].sm (34,42 KiB) scaricato 1217 volta(e).
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Valery Ochkov 01/07/2023 09:20:00
#3 Pubblicato: 01/07/2023 09:20:10
Valery Ochkov

Valery Ochkov

67 apprezzamenti in 713 post.

Gruppo: User

Wrote

Wrote

See please one ODE symbolic solution without IC


We have it done for exporting formula c/w constants & IC
Jean

ODE_Laplace 2nd [Type 3].sm (34,42 KiB) scaricato 1217 volta(e).



Thanks!
But no way to do so in SMath
dsolve-Maple.png
#4 Pubblicato: 01/07/2023 10:51:35
Valery Ochkov

Valery Ochkov

67 apprezzamenti in 713 post.

Gruppo: User

Wrote

Wrote

Thanks!
But no way to do so in SMath


"L & m" are missing in dsolve result ?


m is missing in dsolve.
#5 Pubblicato: 01/07/2023 14:48:44
Alvaro

Alvaro

1.139 apprezzamenti in 1.805 post.

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Wrote

See please one ODE symbolic solution without IC



Hi Valery. Use Ctrl+Shift+K for write D(x)(0), which means x'(0)

Clipboard01.png

Best regards.
Alvaro.
1 utenti hanno apprezzato questo post
Valery Ochkov 02/07/2023 04:05:00
#6 Pubblicato: 02/07/2023 04:06:01
Valery Ochkov

Valery Ochkov

67 apprezzamenti in 713 post.

Gruppo: User

Wrote

Wrote

See please one ODE symbolic solution without IC



Hi Valery. Use Ctrl+Shift+K for write D(x)(0), which means x'(0)

Clipboard01.png

Best regards.
Alvaro.



Thanks!
dsolve-ICs.sm (10,61 KiB) scaricato 1530 volta(e).
dsolve-ICs.png
#7 Pubblicato: 03/07/2023 03:43:12
Alvaro

Alvaro

1.139 apprezzamenti in 1.805 post.

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The distance between the cities added.

GravityTrain.sm (31,01 KiB) scaricato 1449 volta(e).
GravityTrain.pdf (233,1 KiB) scaricato 925 volta(e).

Best regards.
Alvaro.
1 utenti hanno apprezzato questo post
Valery Ochkov 03/07/2023 04:18:00
#8 Pubblicato: 03/07/2023 07:30:35
Jean Giraud

Jean Giraud

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Earth distance companion added.
Sanity check Air Industry.
Jean

Angle Vincenty Earth Distance [Mike].sm (49,78 KiB) scaricato 1214 volta(e).
#9 Pubblicato: 04/07/2023 02:14:47
Valery Ochkov

Valery Ochkov

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The Boundary problem?
dsolve-Boundary.sm (17,01 KiB) scaricato 1483 volta(e).
dsolve-BP.png
#10 Pubblicato: 04/07/2023 09:30:11
Valery Ochkov

Valery Ochkov

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A pendulum
Pendulum.png
#11 Pubblicato: 04/07/2023 18:53:08
Alvaro

Alvaro

1.139 apprezzamenti in 1.805 post.

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Wrote

A pendulum ...



The exact solution needs some handwrite work.

Edited: a hard handwrite work. Previous version was wrong.

Click to enlarge

Correct solution -> pendulum v2.sm (13,73 KiB) scaricato 1462 volta(e).

Wrong solution -> pendulum.sm (13,88 KiB) scaricato 1468 volta(e).

Best regards.
Alvaro.
1 utenti hanno apprezzato questo post
Valery Ochkov 05/07/2023 06:23:00
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