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Project 1 - Math 306 Spring 2018 Prof. Dimock Due date: Tuesday, Feb 27 1. Consider the following di erential equation dy dx = y 2 - 4 y + 3 (a) Find the exact solution. (b) Using Maple plot a slope field, print it, and sketch some solutions by hand. (c) Using Maple and Euler’s method find an appproximate solution with y (0) = 2 . 9 for 0 x 5. Also plot the points. (d) Are your answers consistent? 2. Consider the di erential equation dy dx = y 2 - 2 y + x 2 (a) Using Maple plot a slope field, print it, and sketch some solutions by hand (b) Using Maple and Euler’s method find an appproximate solution with y ( - 2) = - 2 for - 2 x 2. Plot the points. Notes: 1. On the next page we include some samples which you can use as a guide. The samples use 2-d input which is the default for Maple 17. You could also use 1-d input (Maple input). 2. Recitation sections will meet in the computer lab Baldy 8B the week
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