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math_36
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Utree
May 15, 2019
Education
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24
math_36
Utree
May 15, 2019
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Transcript
36 ඍੵه߸ʹର͢Δૢ࡞ͱϥΠϓχοπه๏ͷҙຯ ɹ౷ܭֶ͕࠷ڧͷֶͰ͋Δֶฤ
લઅͷτϐοΫ • n࣍ؔʹ͍ͭͯͷඍͱੵͷϧʔϧ
ࠓճͷτϐοΫ • ߹ؔͷඍ • ஔੵ • ྫ1
ϥΠϓχοπه๏ dx • ඍੵΛͷΑ͏ʹѻ͑Δศརͳه߸ • ඍํఔࣜ(f(x)ͱf’(x)ͷؔࣜ)Λղ͘ͷʹΑ͘ΘΕΔ
߹ؔͷඍ ※ஔ͖͑ͯඍ͢Δ͜ͱͰܭࢉ͘͢͢͠Δ
߹ؔͷඍ(ূ໌)
ஔੵ • ߹ؔͷඍͰ༻͍ΒΕͨʮஔ͖͑Δʯͱ͍͏ߟ͑ํΛੵ ʹదԠͤͨ͞ͷ
ஔੵ
ྫ1 • 2ͭͷܦݧଇ • Ϣʔβʔ(y)ͱϢʔβʔͷ৳ͼ(y’)ʹൺྫͷؔ • {ސ٬(N) - Ϣʔβʔ(y)}ͱϢʔβʔͷ৳ͼ(y’)ʹൺྫͷؔ •
Ϣʔβʔͷ૿Ճྔ(y’)ΛϢʔβʔ(y)ͱސ٬(N)Ͱઆ໌ • dy/dt = ay(N-y) • ࣌ؒ(t)ͱϢʔβʔ(y)ͷؔੑΛΓ͍ͨ
ྫ1: ඍํఔࣜΛղ͘खॱ • ϥΠϓχοπه๏͕ʮͱಉ͡Α͏ʹѻ͑Δ͜ͱʯΛར༻͠ɺɹ ࢠͱΛ͚Δ • ྆ลͷෆఆੵΛٻΊͯཧ
ྫ1
·ͱΊ • ඍੵʮஔ͖͑ʯͰ؆୯ʹղ͚Δ