Spring 2013 - Math 462
Benjamin Manning
Partial Differential Equations
Final Exam, May 14th.
Choose EIGHT out of the following ten problems. You have 120 minutes to complete
the exam.
1. Solve u;c +uy u = 0 with 'u.(:1:, :I:) = 2.
2. Solve the equation (1
MATH 462 Final Examination, 17 Dec 13, 8:00-10:00 am
52c; O I o '1
Instructions. Write your name and problem number on each of six answer sheets.
Nothing else is required. You are requested to write out the honor pledge on just one
answer sheet. If you us
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Final Exam Math 462
hiay 13,2010
Problem 1. Solve the following inhomogeneous transport equation
at -I 2% 2 U2,
1
u(0,:1;) = .
x
Determine the region of the 1590 plane where the solution is uniquely
determined.
Problem 2. Solve the problem
ut(t,x)
MATH 462 Dr. Wolfe FINAL EXAM December 18, 2009
. (20 points) In (a)(c) fsolve the initial values problem
a) ut + Zux = 0, u(x, 0) = sinsc.
b) ut | 2163,. = 1, u(ac,0) 2 ea.
c) at + Zux : mu, u(ac, 0) = 332.
(d) Give a numerical method (nite difference sc