Rodriguez Ford
08/01/2023 · High School
\( (e^{y}+xe^{y}+\tan (e^{x})dx)+xe^{y}dy=0 \)
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برای حل معادله دیفرانسیل:
\[
(e^{y}+xe^{y}+\tan (e^{x}))dx + xe^{y}dy = 0
\]
ابتدا معادله را به شکل:
\[
\frac{dy}{dx} = -\frac{e^{y} + xe^{y} + \tan(e^{x})}{xe^{y}}
\]
بازنویسی میکنیم و از روش تفکیک متغیرها استفاده میکنیم. سپس انتگرالگیری انجام میشود و جواب نهایی به دست میآید. ممکن است نیاز به روشهای عددی یا نرمافزارهای ریاضی باشد.
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