Ode symbolic solution with IC

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

#1 Posted: 2023/7/1 05:56:48
Valery Ochkov

Valery Ochkov

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See please one ODE symbolic solution without IC
dsolve.sm (4.93 KiB) downloaded 835 time(s).
dsolve.png
#2 Posted: 2023/7/1 07:55:36
Jean Giraud

Jean Giraud

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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) downloaded 681 time(s).
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Valery Ochkov 2023/7/1 09:20:00
#3 Posted: 2023/7/1 09:20:10
Valery Ochkov

Valery Ochkov

64 likes in 670 posts.

Group: 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) downloaded 681 time(s).



Thanks!
But no way to do so in SMath
dsolve-Maple.png
#4 Posted: 2023/7/1 10:51:35
Valery Ochkov

Valery Ochkov

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Wrote

Wrote

Thanks!
But no way to do so in SMath


"L & m" are missing in dsolve result ?


m is missing in dsolve.
#5 Posted: 2023/7/1 14:48:44
Alvaro

Alvaro

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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.
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Valery Ochkov 2023/7/2 04:05:00
#6 Posted: 2023/7/2 04:06:01
Valery Ochkov

Valery Ochkov

64 likes in 670 posts.

Group: 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) downloaded 860 time(s).
dsolve-ICs.png
#7 Posted: 2023/7/3 03:43:12
Alvaro

Alvaro

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The distance between the cities added.

GravityTrain.sm (31.01 KiB) downloaded 776 time(s).
GravityTrain.pdf (233.1 KiB) downloaded 456 time(s).

Best regards.
Alvaro.
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Valery Ochkov 2023/7/3 04:18:00
#8 Posted: 2023/7/3 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) downloaded 644 time(s).
#9 Posted: 2023/7/4 02:14:47
Valery Ochkov

Valery Ochkov

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The Boundary problem?
dsolve-Boundary.sm (17.01 KiB) downloaded 809 time(s).
dsolve-BP.png
#10 Posted: 2023/7/4 09:30:11
Valery Ochkov

Valery Ochkov

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A pendulum
Pendulum.png
#11 Posted: 2023/7/4 18:53:08
Alvaro

Alvaro

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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) downloaded 811 time(s).

Wrong solution -> pendulum.sm (13.88 KiB) downloaded 786 time(s).

Best regards.
Alvaro.
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Valery Ochkov 2023/7/5 06:23:00
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