M251ex1(sp02)

M251ex1(sp02) - MATH 251 MIDTERM EXAMINATION I PENN STATE...

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MATH 251 MIDTERM EXAMINATION I February 20, 2002 PENN STATE UNIVERSITY There are 5 multiple choice and 7 partial credit problems in this examination. Each multiple choice problem has 5 choices. Circle the correct answer. Each multiple choice problem is worth 5 points. The use of calculators during the examination is forbidden. Check your examination booklet carefully. There should be 12 problems on 10 pages.
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MIDTERM EXAMINATION I PAGE 2 1. (5 points) Which of the following is TRUE? a) y 0 = t y is a Frst order linear di±erential equation b) sin t y 00 + (1 - t 2 ) y 0 + cos t y = 0 is a second order linear di±erential equation c) y 00 + ( y 0 ) 3 + y = 0 is a nonlinear di±erential equation of order 3 d) y 00 + y 0 + y = t is a second order homogeneous di±erential equation e) ∂y ∂t + ty = 0 is an ordinary di±erential equation 2. (5 points) Let y ( t ) be the solution of the initial value problem dy dx = y 3 - y y (0) = 9 10 . Then lim
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M251ex1(sp02) - MATH 251 MIDTERM EXAMINATION I PENN STATE...

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