Consider a cooling cup of coffee whose initial temperature is 202. The room temperature is held at 70. Suppose k = 1/13.Let y be the temperature, and y' its time derivative.

1. Find the differential equation model and its solution.
3. (Symbolic) What is the differential equation?
4. Note: Use the variabley. No other variables should be used in this equation
5. y ' =
8. What is the initial condition?
9. y(0) =
12. (Symbolic) What is the continuous solution equation?
13. Note: Use the variablet. No other variables should be used in this equation.
14. y (t) =
17. Using Excel and Maple, create a table of temperatures as shown below. Use the appropriate formulas to find the missing values.
18. Note: All temperatures should be correct to AT LEAST 0.1 degrees.
20. Time (minutes)Temperature
21. Euler's Method (dt = 5)Temperature
22. Euler's Method (dt = 1)Temperature
23. Exact Solution5
26. 203060
28. Using Maple, plot the temperature of the coffee over time.

Consldera coollng cup of coffee whose Initial temperature Is 202\". The room temperature ls held at 70". Suppose k - 1f13. Let v be the temperature, and 3" Its time derlvatlve. 8. Find the dilemntisl equation model and ils solution. (Symbolic) What is the differential equation? Note: Use the variable y No other variables should be used in this equalion y ' = -11'13'(y-70] What is the initill condition? r(03= 202 (Symbolic) What is the continuous solution equation? Note: Use the variable to No other variables would be used in this equation y(t} = 70+1329"((1 g b- - Note: All temperatures should be stirred to AT LEAST 0.1 degrees. \"me (\"nu\") E32333?\" (dl: - 5) Egrzlttheud (dt - 1) 3:: 5335:\" 5 X a n . 20 9 n n 30 0 u u 60 0 u u c. Using Maple, plot the hernpelture of the ocee over time. SubmitAnuwer