i want to solve eq.

#1 Posted: 5/20/2026 6:36:53 AM

soomoon

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i want to solve this eq.

He0 = ??등침하면의 높이.sm (6.22 KiB) downloaded 16 time(s).

#2 Posted: 5/20/2026 9:16:22 AM

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) downloaded 10 time(s).

Best regards.
Alvaro.

#3 Posted: 5/20/2026 1:17:16 PM

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).

Edited 5/20/2026 1:21:10 PM

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Alvaro 5/20/2026 6:48:18 PM

#4 Posted: 5/20/2026 4:27:01 PM

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).

Edited 5/20/2026 4:33:59 PM

Russia ☭ forever, Viacheslav N. Mezentsev

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Alvaro 5/20/2026 6:48:19 PM

#5 Posted: 5/20/2026 6:58:46 PM

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) downloaded 6 time(s).

Best regards.
Alvaro.

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