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Quiz-1-f11 - ࠵ ′ = ࠵ ࠵ ࠵ ࠵ ࠵ − ࠵ When the...

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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 and a given constant , find the general solution of the following DE in terms of the given function and constant:
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Unformatted text preview: ࠵ ′ = ࠵ ࠵ + ࠵ + ࠵ ࠵ − ࠵ When the function ࠵ ࠵ is given as ࠵ ࠵ = ࠵ !"## and ࠵ = 1 , find the specific form of the solution. Q1-2 (7.5 Points): Find the general solution of the following DE using your favoriate method: 2 ࠵࠵ ! ࠵ + 1 + ࠵ ! − 2 ࠵ = Q1-3 (7.5 Points): Compute the amount of time needed to pay off the following loan: Initial loan is ࠵ ! and the fixed (constant) interest rate is ࠵ . The borrower has a good job so that she or he can increase periodical payments according to ࠵ ! ࠵ where ࠵ ! is a constant and ࠵ is time. You need to establish the DE and then solve it....
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