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Material Type: Exam; Professor: Hollis; Class: DIFFERENTIAL EQUATIONS; Subject: Mathematics; University: Armstrong Atlantic State University; Term: Spring 2009;
Typology: Exams
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Some review items for Exam 2
http://www.math.armstrong.edu/faculty/hollis/classes/DE/
a(y)
dy dt
= −ρ
y
where a(y) is the cross sectional area of the tank at height y, and ρ is a constant. You’ll need to be able to answer questions about tanks of varying shapes, and questions about emptying time.
yn+1 = yn + hf (tn, yn) wheretn = t 0 + nh
to find approximations to the solution at the points yi, like in example 1 on page
Notes: Good calculus and algebra skills are essential. Based on the results of the most recent quiz, many of you have a lot of very basic difficulties that need to be properly sorted out. If you hope to do well in this course, and are having problems with basic calculus (and even high school algebra) then you need to take it upon yourselves to get the help that you need. The best way to study is to do a lot of problems.