Problems 43 through 46 concern the differential equation where k is a constant (a) Assume that k is positive, and then sketch graphs of solutions of x ' kx 2 with several typical positive values of x(0) (b) How would these solutions differ if the constant k were negative dx dt kx2,

Question: Problems 43 through 46 concern the differential equation where k is a constant. (a) Assume that k is positive, and then sketch graphs of solutions

Problems 43 through 46 concern the differential equation

dx dt = kx2,

where k is a constant.

(a) Assume that k is positive, and then sketch graphs of solutions of x' = kx² with several typical positive values of x(0).(b) How would these solutions differ if the constant k were negative?

dx dt = kx2,

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