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Homework-3 - ି௬ െ 1(Problem 3.3 Prob 48 P 74 4e Find...

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AMS 361: Applied Calculus IV (DE & BVP) Homework 3 Assignment Date: Sunday (09/18/2009) Collection Date: Wednesday (10/07/2009) Quiz-1 on 9/29/2009 Grade: Each problem is worth 10 points (Problem 3.1, Prob. 23, P. 74, 4e) Find the general solutions of the following differential equation. Primes denote the derivatives with respect to x : ݔݕ ൅ 6ݕ ൌ 3ݔݕ (Problem 3.2, Prob. 30, P. 74, 4e) Find the general solutions of the following differential equation. Primes denote the derivatives with respect to x : ሺݔ൅݁ ሻݕ ൌ ݔ݁
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Unformatted text preview: ି௬ െ 1 (Problem 3.3, Prob. 48, P. 74, 4e) Find the general solutions of the following second-order differential equation: ݔ ଶ ݕԢ ᇱ ൅ 3ݔݕԢ ൌ 2 (Hint: Introduce substitution ݒ ൌ ݀ݕ/݀ݔ .) (Problem 3.4, Prob. 52, P.74, 4e) Find the general solutions of the following second-order differential equation: ݕ ଷ ݕ ᇱᇱ ൌ 1 (Problem 3.5, Prob. 27, P.78, 4e) Solve equation: 3ݕ ൅ ݔ ଷ ݕ ସ ൅ 3ݔݕ ᇱ ൌ 0 (Problem 3.6, Prob. 28, P.78, 4e) Solve equation: y ൅ ݔݕ ᇱ ൌ 2݁ ଶ௫...
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