i want to solve eq.

#1 Pubblicato: 20/05/2026 06:36:53

soomoon

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i want to solve this eq.

He0 = ??등침하면의 높이.sm (6,22 KiB) scaricato 493 volta(e).

#2 Pubblicato: 20/05/2026 09:16:22

Alvaro

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Hi. It's a function that Maple knows, but SMath doesn't. I suppose the most practical solution is to ask Maple to evaluate it numerically, once the parameter values are known. evalf is for "eval with float point".

등침하면의 높이.sm (6,74 KiB) scaricato 501 volta(e).

Best regards.
Alvaro.

#3 Pubblicato: 20/05/2026 13:17:16

StvMath

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If you plot eq as a function of He you will find there are two solutions: one close to He =-1.068 and another close to He = 0.832 (for K = 0.4).

Modificato 20/05/2026 13:21:10

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Alvaro 20/05/2026 18:48:18

#4 Pubblicato: 20/05/2026 16:27:01

Вячеслав Мезенцев

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Wrote
If you plot eq as a function of He you will find there are two solutions: one close to He =-1.068 and another close to He = 0.832 (for K = 0.4).

Modificato 20/05/2026 16:33:59

Russia ☭ forever, Viacheslav N. Mezentsev

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Alvaro 20/05/2026 18:48:19

#5 Pubblicato: 20/05/2026 18:58:46

Alvaro

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Hi. This is the analytic solution for the positive root, taking another branch in LambertW function, indicated by the parameter -1

등침하면의 높이.sm (7,95 KiB) scaricato 460 volta(e).

Best regards.
Alvaro.

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