Homework-3-f11

Homework-3-f11 - x : ! ! ! + ! ! ! ! = ! ! + ! ! ! (Problem...

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Homework 3 Assignment Date: Thursday (09/19/2011) Collection Date: Thursday (10/06/2011) Quiz-1 on 9/27/2011 Grade: Each problem is worth 10 points (Problem 3.1) Find the general solutions of the following differential equation. Primes denote the derivatives with respect to x : ! ! ! + 6 ! = 3 ! ! ! ! (Problem 3.2) Find the general solutions of the following differential equation. Primes denote the derivatives with respect to
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Unformatted text preview: x : ! ! ! + ! ! ! ! = ! ! + ! ! ! (Problem 3.3) Find the general solutions of the following second-order differential equation: ! ! ! ! + 3 !" = 4 ! ! (Hint: Introduce substitution ! = !" / !" .) (Problem 3.4) Find the general solutions of the following second-order differential equation: ! ! ! !! = 1 (Problem 3.5) Solve equation: 5 ! + ! ! ! ! + 5 ! ! ! = (Problem 3.6) Solve equation: ! + ! ! ! = ! ! !...
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