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Homework-7-s11

# Homework-7-s11 - ° 4 ´ ° 3 ´ ° 2 ´ ° 1 ´ 2 ° = ³...

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AMS 361: Applied Calculus IV (DE & BVP) Homework 7 Assignment Date: Wednesday (03/16/2011) Collection Date: Wednesday (04/13/2011) Grade: Each problem is worth 10 points Problem 7.1: Find the particular solution for 𝑦 ′′′ + 𝑦 ′′ + 𝑦 + 𝑦 = 1 + 𝑒 −𝑥 + 𝑒 −2𝑥 Problem 7.2: Find the general solution for 𝑥 3 𝑦 ′′′ + 6 𝑥 2 𝑦 ′′ + 4 𝑥𝑦 4 𝑦 = 1 + 𝑥 2 ∀𝑥 > 0 Problem 7.3: Find the general solution of the following equation: 𝑦
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Unformatted text preview: ° ( 4 ) ´ ° ( 3 ) ´ ° ( 2 ) ´ ° ( 1 ) ´ 2 ° = ³ 3 Problem 7.4: Find the solution of the following initial value problem and the initial conditions. ³ 2 ° ′′ + 2 ³°µ ´ 6 ° = 0 ° (1) = 2 ° ′ (1) = 1 Problem 7.5: Solve the following system of equations with given initial conditions: ⎩ ⎨ ⎧ ³ ′ = ³ ´ 2 ° ° ′ = ³ ´ 4 ° ³ (0) = 2 ° (0) = 3...
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