HW+2a+0928

HW+2a+0928 - MATH 53700 HW 2a 09/28/2011 p737 Eliminate the...

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MATH 53700 HW 2a 09/28/2011 p737 Eliminate the arbitrary constants and obtain the differential equations: #5 x x y Ae Be C - = + + #11 2 2 2 2 y ay x a - + = #19 Find the differential equation of all circles passing through the origin and having centers on the x-axis. p740 Solve #7 2 2 2 2 1 y dy x y x y x dx = + + + #16 sin( ) x y dy dx + = p 743 #5 ( ) ( ) dy x x y y x y dx - = + p 746 #4 ( 2 3) (2 1) 0 x y dx x y dy + + - - + =
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p 749 #6 3 2 2 (1 ) 6 1 dy x x y x dx + + = + # 8 1 2 tan (1 ) x dy x y e dx - + + = #18 2 ln dy y dx y y y x = + - p752 #4 3 2 ( ) x y xy dx dy + = #9 2 2 ln (ln ) dy y y y y dx x x + = p755 #4 / / (1 ) (1 ) 0 x y x y x e dx e dy y + + - = #10 2 (sin cos ) (cos sin tan ) 0 x x y e dx x y y dy + + + = p760 #7 2 3 2 2 (3 ) (2 ) 0 xy y dx x y xy dy - - - = # 12 3 2 2 1 ( ) ( ) 0 3 2 4 y x y dx x xy dy + + + + =
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2 4 3 3 (2 3 ) (3 2 ) 0 x y y dx x xy dy - + + = p763 #4 2 2 2 ( ) 3 2 0 dy dy x xy y dx dx + + = # 8 2 2 3 4 2 (3 1) 3 0 y p pxy x x + + + = p765 #3 2 2 3 16 2 0 x p y p x + - = #6
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HW+2a+0928 - MATH 53700 HW 2a 09/28/2011 p737 Eliminate the...

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