quiz-3-Nov-23-2009

quiz-3-Nov-23-2009 - Given the two linearly independent...

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1 AMS 361: Applied Calculus IV by Prof Y. Deng Quiz 3 Monday (11/23/2009) at 8:05-9:25 (1) Open Book and Open Own Lecture Notes; Calculators Allowed (2) Do Any Two of the Three Problems; Mark the Two Problems You Attempt; Will Only Grade the First Two if You Don’t Mark the Problems You Attempted (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 Grade for Missing Name or Class ID or SB ID SB ID: Class ID: Name: Problems To Grade? Score Remarks Q3-1 Q3-2 Q3-3 Total Score Q3-1 ( 7.5 Points
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Unformatted text preview: ) : Given the two linearly independent solutions of the homogeneous portion of ? ( ° ) ± "( ° ) + ? ( ° ) ±′ ( ° ) + ? ( ° ) ± ( ° ) = ? 3 ° as ± 1 °² and ± 2 °² . Find the general solution for the non-homogeneous DE in terms of the given functions ? °² ≠ , b t ² and c(t) and the given functions ± 1 ( ° ) and ± 2 °² . Q3-2 ( 7.5 Points ) : Solve following system of DEs ³ ± ′′ + 13 ´ ′ − 4 ± = 6 sin ° 2 ± ′ − ´ ′′ + 9 ´ = 0 µ Q3-3 ( 7.5 Points ) : Compute the following Laplace transform α and ω are constants ² : ℒ ¶ ? ?° ·° 2 ? ¸° sin( ¹° ) º»...
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