# 4-12s-Final exam

17 views14 pages
31 Jan 2019
School
Course
Professor
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
Unlock document

This preview shows pages 1-3 of the document.
Unlock all 14 pages and 3 million more documents.

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.
Unlock document

This preview shows pages 1-3 of the document.
Unlock all 14 pages and 3 million more documents.

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.)
Unlock document

This preview shows pages 1-3 of the document.
Unlock all 14 pages and 3 million more documents.