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Homework 17 Solution

# Homework 17 Solution - Lecture 17 MEEN 357 Homework...

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Lecture 17 MEEN 357 Homework Solution 1 Lecture-17-Homework-Solution-2009.doc RMB 1. Convert the following initial value problem to an initial value problem for a system in normal form ( ) ( ) ( ) ( ) 2 2 2 2 3 5 2 0 4 2 6 0 0 0 1 0 0 0 1 2 d x x y dt d y y x dt dx x dt dy y dt + = + = = − = = = Solution Start by writing ( ) ( ) 2 2 2 2 1 2 5 2 5 3 3 3 1 1 3 6 2 4 2 2 dx dx dx x dt dt dt dx d x y x y x d dt dt dy dy dy dt y dt dt dt dy d y x y y x dt dt = = = + or 0 1 0 0 5 2 0 0 3 3 0 0 0 1 3 1 0 0 2 2 x x dx dx d dt dt dt y y dy dy dt dt =

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Homework 17 Solution - Lecture 17 MEEN 357 Homework...

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