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...
View
Full Document
 Fall '10
 STEACY
 initial value, dy, typical solution curves, Initial value problems

Click to edit the document details