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math_36

Avatar for Utree Utree
May 15, 2019
Education
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 math_36

Avatar for Utree

Utree

May 15, 2019

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Transcript

  1. 36 ඍੵ෼ه߸ʹର͢Δૢ࡞ͱϥΠϓχοπه๏ͷҙຯ ɹ౷ܭֶ͕࠷ڧͷֶ໰Ͱ͋Δ਺ֶฤ

  2. લઅͷτϐοΫ • n࣍ؔ਺ʹ͍ͭͯͷඍ෼ͱੵ෼ͷϧʔϧ

  3. ࠓճͷτϐοΫ • ߹੒ؔ਺ͷඍ෼ • ஔ׵ੵ෼ • ྫ୊1

  4. ϥΠϓχοπه๏ dx • ඍੵΛ෼਺ͷΑ͏ʹѻ͑Δศརͳه߸ • ඍ෼ํఔࣜ(f(x)ͱf’(x)ͷؔ܎ࣜ)Λղ͘ͷʹΑ͘࢖ΘΕΔ

  5. ߹੒ؔ਺ͷඍ෼ ※ஔ͖׵͑ͯඍ෼͢Δ͜ͱͰܭࢉ͠΍͘͢͢Δ

  6. ߹੒ؔ਺ͷඍ෼(ূ໌)

  7. ஔ׵ੵ෼ • ߹੒ؔ਺ͷඍ෼Ͱ༻͍ΒΕͨʮஔ͖׵͑Δʯͱ͍͏ߟ͑ํΛੵ ෼ʹదԠͤͨ͞΋ͷ

  8. ஔ׵ੵ෼

  9. ྫ୊1 • 2ͭͷܦݧଇ • Ϣʔβʔ਺(y)ͱϢʔβʔ਺ͷ৳ͼ(y’)ʹ͸ൺྫͷؔ܎ • {ސ٬਺(N) - Ϣʔβʔ਺(y)}ͱϢʔβʔ਺ͷ৳ͼ(y’)ʹ͸ൺྫͷؔ܎ •

    Ϣʔβʔ਺ͷ૿Ճྔ(y’)ΛϢʔβʔ਺(y)ͱސ٬਺(N)Ͱઆ໌ • dy/dt = ay(N-y) • ࣌ؒ(t)ͱϢʔβʔ਺(y)ͷؔ܎ੑΛ஌Γ͍ͨ

  10. ྫ୊1: ඍ෼ํఔࣜΛղ͘खॱ • ϥΠϓχοπه๏͕ʮ෼਺ͱಉ͡Α͏ʹѻ͑Δ͜ͱʯΛར༻͠ɺɹ ෼ࢠͱ෼฼Λ෼͚Δ • ྆ลͷෆఆੵ෼ΛٻΊͯ੔ཧ

  11. ྫ୊1

  12. ·ͱΊ • ඍੵ͸ʮஔ͖׵͑ʯͰ؆୯ʹղ͚Δ