math 310 303 - MATH 310-3 Differential Equations Homework...

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MATH 310-3 Fall 2011 Differential Equations Homework Set 1 Some Solutions The following solutions are not necessarily complete, but should highlight the main points for most questions. If you have any further questions regarding the problems and solutions, feel free to discuss them on WebCT. Solutions marked by * are taken from the publisher’s Instructor’s Solutions Manual for the textbook by Boyce and DiPrima, 9th edition (Wiley), while solutions marked by (which appear to have been typed with a typewriter. . . ) are from the publisher’s Student Solutions Manual; in some cases I have added comments in [brackets]. Section 1.1: * Section 1.1 # 3 : [More correctly, the solution should say that all other solutions diverge from the (unstable) equi- librium solution y ( t ) ≡ - 3 / 2.] Section 1.1 # 11 : [The steady state y = 0 is unstable, while y = 4 is stable. The resulting direction field, produced using Maple, is given below:]
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Section 1.1 # 15–20 : These problems ask one to identify the differential equations producing the given direction fields.
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math 310 303 - MATH 310-3 Differential Equations Homework...

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