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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.
 Fall '08
 Staff

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