4-12s-Final exam

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31 Jan 2019
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EGR 265, Spring 2012, Final Exam 1
EGR 265, Math Tools for Engineering Problem Solving
May 7, 2012, 10:45am to 1:15pm
Name (Print last name first): ..........................................
Student ID Number: ......... ...... ............
Final Exam
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Total
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EGR 265, Spring 2012, Final Exam 2
Problem 1 (8 points)
Find an explicit solution of the initial value problem
y2x= 2xy, y(1) = 0.
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EGR 265, Spring 2012, Final Exam 3
Problem 2 (10 points)
A liquid is heated to 100F. It cools down according to Newton’s law of cooling in a
surrounding medium of temperature 50F. The rate of cooling is k=0.5.
(a) State the differential equation which governs the temperature of the medium at
time taccording to Newton’s law of cooling.
(b) Solve this differential equation with the correct initial value (this can be done either
as a separable or a linear equation).
(c) At what time has the temperature dropped to 75F? (Logarithms do not need to
be evaluated.)
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