- #1

morrobay

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## Homework Statement

A cup of coffee cools according to;

dT/dt = .17(36-T)

At t=0 T= 85 deg centigrade

Two questions : how to verify the solution below and to plot a continuous curve of T/t

## Homework Equations

the solution is T(t) = 36 + Ce^-.17t, = 36+49e^-.17t

b]3. The Attempt at a Solution [/b]

I solved for two (t)'s numerically ;

T= 74 , 1.29 deg=e^.17t , t= 1.5 s

T= 80 ,.108=.17t . t=.64 s

So could someone explain how to integrate this and get the curve?