Homework-8 - = 2 = = 0 = 0 Problem 8.3: Solve the following...

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1 AMS 361: Applied Calculus IV by Prof Y. Deng Homework 8 Assignment Date: Wednesday (11/11/2009) Collection Date: Wednesday (11/18/2009) NO HW on 11/25 Grade: Each problem is worth 10 points. Problem 8.1: Define two operators ° 1 ≡ ? 1 ± 2 + ? 1 ± + ? 1 ° 2 ≡ ? 2 ± 2 + ? 2 ± + ? 2 Applying these two operators to a function ² ³´ , we may get ° 1 ° 2 ² ³´ and ° 2 ° 1 ² ³´ check if ° 1 ° 2 ² ³´ = ° 2 ° 1 ² ³´ . What if we define the two operators as follows, check it again: ° 1 ² ³´ ≡ ³±² ( ³ ) + ² ( ³ ) ° 2 ² ( ³ ) ≡ ±² ( ³ ) + ³² ( ³ ) Problem 8.2: Solve the following system of equations with given initial conditions:
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Unformatted text preview: = 2 = = 0 = 0 Problem 8.3: Solve the following system of equations by (1) substitution method and (2) operation method: = 2 + 3 = 6 Problem 8.4: Find the general solution of the following. = + + = + = Problem 8.5 : Use operational determinant method to solve the following system of equations: 2 + 1 + ( 2 + 2) = 2 2 1 + 2 = 0...
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