Ode symbolic solution with IC

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

#1 Posted: 7/1/2023 5:56:48 AM
Valery Ochkov

Valery Ochkov

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See please one ODE symbolic solution without IC
dsolve.sm (4 KiB) downloaded 57 time(s).
dsolve.png
#2 Posted: 7/1/2023 7:55:36 AM
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 KiB) downloaded 59 time(s).
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Valery Ochkov 7/1/2023 9:20:00 AM
#3 Posted: 7/1/2023 9:20:10 AM
Valery Ochkov

Valery Ochkov

55 likes in 633 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 KiB) downloaded 59 time(s).



Thanks!
But no way to do so in SMath
dsolve-Maple.png
#4 Posted: 7/1/2023 10:51:35 AM
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: 7/1/2023 2:48:44 PM
Alvaro Diaz Falconi

Alvaro Diaz Falconi

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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.
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Valery Ochkov 7/2/2023 4:05:00 AM
#6 Posted: 7/2/2023 4:06:01 AM
Valery Ochkov

Valery Ochkov

55 likes in 633 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 KiB) downloaded 44 time(s).
dsolve-ICs.png
#7 Posted: 7/3/2023 3:43:12 AM
Alvaro Diaz Falconi

Alvaro Diaz Falconi

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The distance between the cities added.

GravityTrain.sm (31 KiB) downloaded 57 time(s).
GravityTrain.pdf (233 KiB) downloaded 66 time(s).

Best regards.
Alvaro.
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Valery Ochkov 7/3/2023 4:18:00 AM
#8 Posted: 7/3/2023 7:30:35 AM
Jean Giraud

Jean Giraud

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Earth distance companion added.
Sanity check Air Industry.
Jean

Angle Vincenty Earth Distance [Mike].sm (49 KiB) downloaded 54 time(s).
#9 Posted: 7/4/2023 2:14:47 AM
Valery Ochkov

Valery Ochkov

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The Boundary problem?
dsolve-Boundary.sm (17 KiB) downloaded 56 time(s).
dsolve-BP.png
#10 Posted: 7/4/2023 9:30:11 AM
Valery Ochkov

Valery Ochkov

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A pendulum
Pendulum.png
#11 Posted: 7/4/2023 6:53:08 PM
Alvaro Diaz Falconi

Alvaro Diaz Falconi

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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 KiB) downloaded 51 time(s).

Wrong solution -> pendulum.sm (13 KiB) downloaded 51 time(s).

Best regards.
Alvaro.
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Valery Ochkov 7/5/2023 6:23:00 AM
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