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1. Consider the differential equation dtdy=2y2y3 with initial condition y(0)=y0 a. (10 pts) Find the equilibrium solutions and draw the direction field for the system.
1. Consider the differential equation dtdy=2y2y3 with initial condition y(0)=y0 a. (10 pts) Find the equilibrium solutions and draw the direction field for the system. b. (6pts) Sketch the graph of a typical solution y(t) when (i) y0>2 (ii) 0
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