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Offline OchkovVF  
#1 Posted : 01 July 2023 11:56:48(UTC)
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See please one ODE symbolic solution without IC
dsolve.sm (5kb) downloaded 11 time(s).
dsolve.png

Edited by user 01 July 2023 12:02:59(UTC)  | Reason: Not specified

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Offline Jean Giraud  
#2 Posted : 01 July 2023 13:55:36(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
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 (35kb) downloaded 8 time(s).
thanks 1 user thanked Jean Giraud for this useful post.
on 01/07/2023(UTC)
Offline OchkovVF  
#3 Posted : 01 July 2023 15:20:10(UTC)
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Originally Posted by: Jean Giraud Go to Quoted Post
Originally Posted by: OchkovVF Go to Quoted Post
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 (35kb) downloaded 8 time(s).


Thanks!
But no way to do so in SMath
dsolve-Maple.png
Offline OchkovVF  
#4 Posted : 01 July 2023 16:51:35(UTC)
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Originally Posted by: Jean Giraud Go to Quoted Post
Originally Posted by: OchkovVF Go to Quoted Post
Thanks!
But no way to do so in SMath

"L & m" are missing in dsolve result ?

m is missing in dsolve.
Offline Razonar  
#5 Posted : 01 July 2023 20:48:44(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
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 1 user thanked Razonar for this useful post.
on 02/07/2023(UTC)
Offline OchkovVF  
#6 Posted : 02 July 2023 10:06:01(UTC)
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Originally Posted by: Razonar Go to Quoted Post
Originally Posted by: OchkovVF Go to Quoted Post
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 (11kb) downloaded 7 time(s).
dsolve-ICs.png
Offline Razonar  
#7 Posted : 03 July 2023 09:43:12(UTC)
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The distance between the cities added.

GravityTrain.sm (32kb) downloaded 19 time(s).
GravityTrain.pdf (234kb) downloaded 14 time(s).

Best regards.
Alvaro.
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on 03/07/2023(UTC)
Offline Jean Giraud  
#8 Posted : 03 July 2023 13:30:35(UTC)
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Earth distance companion added.
Sanity check Air Industry.
Jean

Angle Vincenty Earth Distance [Mike].sm (50kb) downloaded 10 time(s).
Offline OchkovVF  
#9 Posted : 04 July 2023 08:14:47(UTC)
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The Boundary problem?
dsolve-Boundary.sm (18kb) downloaded 11 time(s).
dsolve-BP.png
Offline OchkovVF  
#10 Posted : 04 July 2023 15:30:11(UTC)
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A pendulum
Pendulum.png
Offline Razonar  
#11 Posted : 05 July 2023 00:53:08(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
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 (14kb) downloaded 6 time(s).

Wrong solution -> pendulum.sm (14kb) downloaded 7 time(s).

Best regards.
Alvaro.

Edited by user 05 July 2023 11:17:40(UTC)  | Reason: Attached correct analytic solution

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