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categoryرياضيات schoolبكالوريوس event_available2026-07-15

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Question 1 (1 point) Find the general solution of the given first-order linear differential equation. dy y dt - 18te y=-18te + C y=-18te + Ct y = -91² e²² + Ct 2 y = -9t² et + Ct Question 2 (1 point) Solve the problem. A highly anticipated offering of 275,000 shares of a growth stock is presented to the market, and half the offered shares are purchased when the market opens at 6:30 A.M. Each hour during the trading day, 75,000 previously uncirculated shares are purchased and 20% of the shares currently in circulation are resold. Set up an initial value problem for the number of shares s(t) in circulation t hours into the trading day. dS dt -0.20S = 75,000; S(0) = 137,500 dS dt +0.20S 75,000; S(0) = 275,000 dS 0.20S = 75,000; S(0) = 275,000 dt dt +0.20S = 75,000; S(0) = 137,500

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