show works please 10 Points The differential equation shown below models the temperature of an 89°...

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10 Points The differential equation shown below models the temperature of an 89° C cup of coffee in a 17° C room, where is it show works please

math calculus

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-/ (4-17) 40 dy at dy Hito .dt 4-7 Inly 71=-40t+c 40t+ In ly-7/=c. y (0)=89°. ie, 40(0)+ ln 189-1/=c c = ln 182l. 40t +lnly-7

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