Quiz-1-f11-solution

Quiz-1-f11-solution - 1 AMS 361 Applied Calculus IV by Prof...

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Unformatted text preview: 1 AMS 361: Applied Calculus IV by Prof. Y. Deng Quiz 1 Tuesday (09/27/2011) at 5:20PM-6:40PM in 001 ESS (1) Closed Book with 1-page (double-sided 8.5x11) self-prepared formulas. (2) Do any two of the three problems. If all three are attempted, the two best (and only two) will be graded. (3) Each problem is worth 7.5 points. (4) No points for guessing work and for solutions without appropriate intermediate steps; Partial credits are given only for steps that are relevant to the solutions. (5) No name, no grade and no question asked or answered. SB ID: Class ID: Name: Problems To Grade? Score Remarks Q1-1 Q1-2 Q1-3 Total Score Q1-1 (7.5 Points): For a given well-behaved function where ࠵ ࠵ and a given constant ࠵ , find its general solution of the following DE in terms of the given function and constant: ࠵ ′ = ࠵ ࠵ + ࠵ + ࠵ ࠵ − ࠵ When the function ࠵ ࠵ is given as ࠵ ࠵ = ࠵ ࠵¡¢¢ and ࠵ = ࠵ , find the specific form of the solution. Solution: Method I. For the general case, let ࠵ = ࠵ + ࠵ ࠵ we get ࠵ ! = − ࠵ ࠵ ࠵ ࠵ ′ 2 − ࠵ ࠵ ࠵ ࠵ ′ = ࠵ ࠵ + ࠵ + ࠵ ࠵ − ࠵ = ࠵ ࠵ + ࠵ ࠵ + ࠵¡ ࠵ ࠵ Or ࠵ !...
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Quiz-1-f11-solution - 1 AMS 361 Applied Calculus IV by Prof...

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