Consider the autonomous differential equation d S dt = S3
Chapter , Problem 15(choose chapter or problem)
Consider the autonomous differential equation d S dt = S3 2S2 + S. (a) Make a rough sketch of the slope field without using any technology. (b) Using this drawing, sketch the graphs of the solutions S(t) with the initial conditions S(0) = 1/2, S(1) = 1/2, S(0) = 1, S(0) = 3/2, and S(0) = 1/2. (c) Confirm your answer using HPGSolver.
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