Homework-7-f10_Sol

Homework-7-f10_Sol - AMS 361: Applied Calculus IV by Prof...

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Unformatted text preview: AMS 361: Applied Calculus IV by Prof Y. Deng Homework 7 Assignment Date: Collection Date: Grade: Thursday (11/04/2010) Thursday (11/11/2010) Each problem is worth 10 points. Problem 7.1 Use the appropriate method to find the particular solution for () () ( ) ( ( ) ) Characteristic Solution () () ( ) ( ) () ( ( ) ) Particular Solution () ∫ ( ) () ( () ( ( () ) ) ( ) () ( )) () () () () ( ( ) ( ) ) ) ( ( ( ) ) ( ( () () () ) ) ( () ( )) | | ) () ) () () ∫ ( ) ( ( 1 () ∫ ( )( () ) () ( ( ) )) ( ) ( ) () ( ) ∫( ( )( ) ( )∫ ( ) () ( ) [| ( )| ( )] ( ) * ( ) + Problem 7.2 Find the particular solution for Characteristic Solution () () () Particular Solution () 2 Problem 7.3 Find the general solution for () Here ( ) Characteristic Equation ( ) () () () Particular Equation () 3 () () () Problem 7.4 Find the general solution of the following equation: () () () () Characteristic Equation ( () )( () )( ) () Particular Equation ( ( ) ) ( ( ) ) () () () () () () 4 Problem 7.5 Find the solution of the following initial value problem and the initial conditions. { () () () Characteristic Equation () () () () () Problem 7.6: Solve the following system of equations with given initial conditions: () () { In this question x and y are function of time () () 5 Using Using Since from above equation Using Characteristic Equation √ √ √ √ () √ ( ) √ √ √ √ ( ) ) √ √ √ ( () √ ( ) √ √ () () ( √ √ ( ) ) √ √ (( ) √ ) √ 6 ...
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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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