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Unformatted text preview: D [ x ] ( D 1)[ y ] = 0 , x + ( D 2 D )[ y ] = 0 . We eliminate y by applying D to the Frst equation and adding the result to the second equation: D 2 [ x ] D ( D 1)[ y ] + x + ( D 2 D )[ y ] = 0 ( D 2 + 1 ) [ x ] = 0 . This equation is the simple harmonic equation, and its general solution is given by x ( t ) = C 1 cos t + C 2 sin t. 333...
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This note was uploaded on 03/29/2010 for the course MATH 54257 taught by Professor Hald,oh during the Spring '10 term at University of California, Berkeley.
 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations

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