004 1750 0 60000 method 1 separable method 2

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?𝐴 ?𝑡 = 𝑟𝐴 − 𝑊, 𝑟 = 0.04, 𝑊 = 1750, 𝐴(0) = 𝐴 0 = 60000 Method #1: Separable Method #2: Integrating Factor ?𝐴 𝑟𝐴 − 𝑊 = ?𝑡 ⇒ ?𝑛|𝑟𝐴 − 𝑊| = 𝑟𝑡 + ? ⇒ 𝑟𝐴 − 𝑊 = ?? 𝑟𝑡 ⇒ 𝐴 = 𝑀? 𝑟𝑡 + 𝑊 𝑟 , 𝑀 = ? 𝑟 ?𝐴 ?𝑡 − 𝑟𝐴 = −𝑊 ⇒ 𝐼(?) = ? ∫ −𝑟𝑑𝑡 = ? −𝑟𝑡 ⇒ ? −𝑟𝑡 ?𝐴 ?𝑡 − ? −𝑟𝑡 𝑟𝐴 = −? −𝑟𝑡 𝑊 ⇒ ? 𝑥 (? −𝑟𝑡 𝐴) = −? −𝑟𝑡 𝑊 ⇒ ? −𝑟𝑡 𝐴 = −∫ ? −𝑟𝑡 𝑊 ?𝑡 ⇒ ? −𝑟𝑡 𝐴 = 𝑊 𝑟 ? −𝑟𝑡 + 𝑀 , ⇒ 𝐴 = 𝑀? 𝑟𝑡 + 𝑊 𝑟 , But 𝐴(0) = 𝑀 + 𝑊 𝑟 = 𝐴 0 => 𝑀 = 𝐴 0 𝑊 𝑟 , ⇒ 𝐴 = (𝐴 0 𝑊 𝑟 )? 𝑟𝑡 𝑊 𝑟 ⇒ 𝐴 = (60000 − 1750 0.04 ) ? 0.04𝑡 + 1750 0.04 ⇒ 𝐴 = 16250? 0.04𝑡 + 43750 ⇒ 𝐴(20) = 16250 ? 0.04(20) + 43750 ≈ $79915
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