How does the growth rate depend on the population

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Reference no: EM131248550

Consider dx/dt = ax2 - bx (with a > 0,b> 0, and x ≥ 0).
a) How does the growth rate depend on the population?

b) Sketch the one-dimensional phase line.

c) Sketch the time-dependent solution qualitatively.

d) Obtain the exact solution.

e) Show that the exact solution has the qualitative behavior obtained in (c).

Reference no: EM131248550

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