Homework-8-s11

Homework-8-s11 - ! ! ! ! ≡ !" ( ! ) + !" ( ! )...

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Homework 8 Assignment Date: Wednesday (03/23/2011) Collection Date: Wednesday (05/04/2011) Grade: Each problem is worth 10 points Note: Collection of HW8 is delayed due to spring break and Quiz-3 Problem 8.1: Define two operators: ! ! ! ! + ! + 1 ! ! ! ! + 2 ! Applying these two operators to a function ! ! , we may get ! ! ! ! ! ! and ! ! ! ! ! ! check if ! ! ! ! ! ! = ! ! ! ! ! ! . What if we define the two operators as follows, check it again:
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Unformatted text preview: ! ! ! ! ≡ !" ( ! ) + !" ( ! ) ! ! ! ( ! ) ≡ !"# ( ! ) + ! ( ! ) Problem 8.2: Solve the following system of equations with given initial conditions: ! ! = ! − 2 ! ! ! = ! − ! ! = 2 ! = 1 Problem 8.3: Solve the following system of equations by (1) substitution method and (2) operation method: ! ! = ! − 3 ! ! ! = 2 ! + ! Problem 8.4: Find the general solution of the following. ! ! = ! + ! + ! ! ! ! = ! + ! ! ! = ! − !...
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This note was uploaded on 05/09/2011 for the course AMS 361 taught by Professor Staff during the Spring '08 term at SUNY Stony Brook.

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