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Unformatted text preview: sides to be equal to the same constant C. Hence, ) ( ) ( ) ( ) ( 2 2 2 2 x C x x V dx x d m = + h ) ( ) ( t iC dt t d = h The time equation is a first order equation with one solution t C i e t h = ) ( and t C i e x t x h = ) ( ) , ( . We see that C dx t t x t x i dx t x E t x E op = = >= < ) , ( ) , ( ) , ( ) , ( h 2 2 2 2 2 2 ) , ( ) , ( ) , ( ) , ( C dx t t x t x dx t x E t x E op = = >= < h Hence 2 2 = > < > < = E E E and E C = . 1 st order differential equation!...
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This note was uploaded on 05/29/2011 for the course PHY 4064 taught by Professor Fields during the Spring '07 term at University of Florida.
 Spring '07
 FIELDS
 mechanics, Energy, Potential Energy

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