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 Find the differential equation model and its solution ( Symbolic ) What is the differential equation Note Use the variable y No other variables should be used in this equation y ' What is the initial condition y(0) ( Symbolic ) What is the continuous solution equation Note Use the variable t No other variables should be used in this equation y (t) Using Excel and Maple, create a table of temperatures as shown below Use the appropriate formulas to find the missing values Note All temperatures should be correct to AT LEAST 0 1 degrees Time (minutes)Temperature Euler's Method (dt 5)Temperature Euler's Method (dt 1)Temperature Exact Solution5 203060 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

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Question: 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

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.

Find the differential equation model and its solution.
(Symbolic) What is the differential equation?
Note: Use the variabley. No other variables should be used in this equation
y ' =
What is the initial condition?
y(0) =
(Symbolic) What is the continuous solution equation?
Note: Use the variablet. No other variables should be used in this equation.
y (t) =
Using Excel and Maple, create a table of temperatures as shown below. Use the appropriate formulas to find the missing values.
Note: All temperatures should be correct to AT LEAST 0.1 degrees.
Time (minutes)Temperature
Euler's Method (dt = 5)Temperature
Euler's Method (dt = 1)Temperature
Exact Solution5
203060
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

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