Unformatted text preview: people who have not yet heard it. How long will it be until half the city has heard the rumour? Practice Exam 1c 1. Solve the ODE: xy 00 = y . 2. Solve the IVP: (1 + x 2 ) dy dx = y , y (0) = 2. 3. Solve the ODE: dy dx =cos x + ln y x y + ey . 4. Sketch a slope ﬁeld and use Euler’s method (with step ε = 1) to approximate y (2): y = x + 1 2 y 2 , y (2) = 0. y (2) = 1...
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 Fall '08
 DICKEY
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