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homework8

# homework8 - -2 0 2 and ∞ Draw some other slopes as well...

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Math 1120 Homework 8 Due 10/20 or 10/21, 2011 Name: GRADES Book questions / 5 Presentation questions / 30 Print out these pages. Answer the “presentation questions” in the spaces provided. Include full explanations and write your answers in complete, mathematically and grammatically correct sentences. Your answers will be assessed for style and accuracy; you will be given written feedback on these prob- lems. Write your answers to the “book questions” on separate paper and staple to these pages. They will be assessed only for completeness. Always write neatly and legibly. Book questions — 9.1: 2, 4, 6, 8, 10 Presentation questions 1. Consider the diferential equation dy dx + 4 x y = 0. (a) [10 points] Sketch the slope Feld. Indicate clearly where the slopes are

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Unformatted text preview: -2, 0, 2 and ∞ . Draw some other slopes as well. Sketch the solution curve which passes through (0 , 4). Math 1120, Fall 2011 Homework 8 — due 10/20 or 10/21 2 (b) [5 points] If the point (0 , 4) is on the graph of a solution, use Euler’s Method with step size equal to 1 / 2 to estimate that solution at x = 1. (c) [5 points] Find the general solution to the given di±erential equation and the speci²c solution whose graph passes through (0 , 4). CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 8 — due 10/20 or 10/21 3 2. [10 points] (9.1: 20) Use Euler’s Method with dx = 1 / 3 to estimate y (2) if y ′ = x sin y and y (0) = 1. What is the exact value of y (2)? THIS IS THE LAST PAGE....
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homework8 - -2 0 2 and ∞ Draw some other slopes as well...

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