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Unformatted text preview: dy dx = e y ( y 22 y ) . Clasify each point as asymptotically stable, unstable, or semistable. By hand, sketch typical solution curves in the regions in the xy plane determined by the graphs of the equilibrium solutions. 5. Solve the following initial value problems (a) x 2 y = 1x 2 + y 2( xy ) 2 with y (1) = 0 (b) (1 + x 2 ) dy dx + 2 xy = f ( x ) where f ( x ) = b x x < 1x x 1 with the initial condition y (0) = 0. 1...
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This note was uploaded on 01/15/2012 for the course MATH 201 taught by Professor Steacy during the Fall '10 term at University of Victoria.
 Fall '10
 STEACY

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