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Unformatted text preview: 1 AMS 361: Applied Calculus IV by Prof. Y. Deng Quiz 1 Wednesday (03/09/2011) at 3:50PM5:10PM in 137 Harriman (1) Closed Book with 1page (doublesided 8.5x11) 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 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. SB ID: Class ID: Name: Problems To Grade? Score Remarks Q11 Q12 Q13 Total Score Q11 (5 points): It is obvious that = satisfies the following DE. With this info, find its general solution = [ ( ) + + ]( − ) where ( ) is a given wellbehaved function and “ a ” is a given constant. Solution: Substition: = + 1 We get = − 1 2 Substitute to the original DE, we get + ( ( ) + 2 ) + 1 = 0 Which is a 1 st order linear DE and solvable with the integrating factor method: 2 ( ) = exp ¡ ( ( ) + 2 ) ¢ Apply the integrating factor to the both sides of the...
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This note was uploaded on 05/09/2011 for the course AMS 361 taught by Professor Staff during the Spring '08 term at SUNY Stony Brook.
 Spring '08
 Staff

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