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Unformatted text preview: MATH 251 1st exam Feb 21, 2000 Name: Student Number: Instructor: Section: There are 8 partial credit questions. In order to obtain full credit for these problems, all work must be shown. Credit will not be given for an answer not supported by work. The point value for each question is in parentheses to the right of the question number. THE USE OF CALCULATORS IS NOT PERMITTED IN THIS EXAMINA TION. At the end of the examination, the booklet will be collected. 1: 2: 3: 4: 5: 6: 7: 8: Total: Do not write in the box to the left MATH 251 1st exam 1. (10 points) Classify the following equations as linear or nonlinear, homogeneous or nonhomogeneous, ordinary or partial, and by their order. (a) dy dt = ty 2 (b) y 00 + y = t 2 (c) (1 y ) d 2 y dt 2 2 dy dt = cos 2 t (d) 3 x 00 + 2 x 4 x = 0 Page 2 of 9 MATH 251 1st exam 2. (15 points) A tank originally contains 100 litres of pure water. Salt water with a con centration of 2 kg/L is pumped into the tank at 3 L/min, and the wellmixed solution...
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 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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