15_1_16 - The field lines have equations y = x ln | x | Cx.

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16. v ( x , y ) = x i + ( x + y ) j . The field lines satisfy dx x = dy x + y dy dx = x + y x Let y = x v( x ) dy dx = v + x d v dx v + x d v dx = x ( 1 + v) x = 1 + v. Thus d v/ dx = 1 / x , and so v( x ) = ln | x |+ C
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Unformatted text preview: . The field lines have equations y = x ln | x |+ Cx ....
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This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

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