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Math 2233 Homework Set 1 1. (a) Plot the direction field for the differential equation y = y 4 / 5 . (b) Sketch the solution that satisfies y (0) = 2. (c) Sketch the solution that satisfies y (0)=1 . 2. Use Maple to generate direction fields for the following differential equations on the given interval. (a) y =2 y ; - 2 x 2, 0 y 6. (b) y =3 y (1 - y ); - 2 x 3, - 3 y 4. 3. For the differential equation in Problem 2(b), what can you say about the behavior of solutions as x →∞ ? 4. Using the Euler Method, find an approximate value for
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