Homework-3-f10_Sol

# Homework-3-f10_Sol - AMS 361: Applied Calculus IV (DE &...

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Unformatted text preview: AMS 361: Applied Calculus IV (DE & BVP) Homework 3 Assignment Date: Thursday (09/15/2010) Collection Date: Thursday (10/07/2010) Quiz-1 on 9/30/2010 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 5 4 Using ′ + 6 ¡ = 3 5 4 Using = ¢ £ = 1−¤ = − 1 £ = −£ → ′ = ¥ 4 −¢ ¦ ¥ 4 −¢ ′ + 6 −£ = 3 −¢ ′ ¥ 3 2 = ¥ 3 4 Find ( ), ( ), ( ) ( ) = ¥ 3 2 , ( ) = ¥ 3 4 , ( ) = ∫§ 3 2¡ ¨©¡ = − 3 2 [ ( ) ] = ( ) ( ) − 3 2 = ¥ 3 4 ª − 3 2 − 3 2 = 3 2 − 1 2 + = 3 2 + 3 2 Since...
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## This note was uploaded on 01/31/2011 for the course AMS 361 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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Homework-3-f10_Sol - AMS 361: Applied Calculus IV (DE &...

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