concern the differential equationdx dt D kx2;where k is a constant. (a) Assume that k is

Chapter 3, Problem 44

(choose chapter or problem)

concern the differential equationdx dt D kx2;where k is a constant. (a) Assume that k is positive, and then sketch graphs of solutions of x0 D kx2 with several typical positive values of x.0/. (b) How would these solutions differ if the constant k were negative?

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