Math 216 Differential Equations

Exams

These 216 exams are from previous semesters. They are provided for informational purposes only; please note that exams for this semester will most closely resemble more recent exams.

First Exam from Winter 2013 First Exam - Solutions Winter 2013
First Exam from Fall 2012 First Exam - Solutions Fall 2012
First Exam from Winter 2012 First Exam - Solutions Winter 2012
First Exam from Fall 2011 First Exam - Solutions Fall 2011
(note that there is a reported error in the answer to #5b: the solution should be y = c1 exp(2x) + exp(-2x)(c2 cos(2x) + c3 sin(2x)).)
First Exam from Winter 2010 First Exam - Solutions Winter 2010
First Exam from Fall 2009 First Exam - Solutions Fall 2009
(note that there is an algebraic error in the solution to problem #3c: 200 - 50/16 = 196 7/8, not 193 3/4.)
First Exam from Winter 2009 First Exam - Solutions Winter 2009
(note that there are errors in the solutions to problems #3b and #3c: in #3b, 10 - v2 is factored incorrectly, dropping a square root; and in #3c the solution uses Euler's method rather than Improved Euler.)
   
Second Exam from Winter 2013 Second Exam - Solutions Winter 2013
Second Exam from Fall 2012 Second Exam - Solutions Fall 2012
Second Exam from Winter 2012 Second Exam - Solutions Winter 2012
Second Exam from Winter 2010 Second Exam - Solutions Winter 2010
(note in #7b, last line, 0.1 + 0.1(1.2) = 0.22, not 0.202 as written.)
Second Exam from Fall 2009 Second Exam - Solutions Fall 2009
(note that there are reported errors in these solutions: in #3 the term c_3 e^(-x) is omitted in the final general solution; in #6 the initial conditions change; in #7 the solution uses a different forcing term)
Second Exam from Winter 2009 Second Exam - Solutions Winter 2009
   
Final Exam from Fall 2012 Final Exam - Solutions Fall 2012
Final Exam from Winter 2012 Final Exam - Solutions Winter 2012
Final Exam from Winter 2010 Final Exam - Solutions Winter 2010 (note that there are reported errors in these solutions: in #1 the coefficient of sin(2t) in y should be 3; in #2 the eigenvalues of the matrix [[0,-5],[1,6]] are 1 and 5, so that the critical point is unstable; and in #5 the transform of t x'' is incorrect)
Final Exam from Fall 2009 Final Exam - Solutions Fall 2009 (note that there is a reported error in these solutions: in #5 the transform of t x'' is incorrect)
Final Exam from Winter 2009 Final Exam - Solutions Winter 2009

 


©2011 The Regents of the University of Michigan
Last Modified: Thu Apr 11 09:59:23 2013