1. Consider the differential equation dy = y(y+ 1)2(2-y) dt a. Sketch the vs. y graph. b. Draw a sketch indicating the long-term behaviors of all the qualitatively different solutions, including (in a...


1. Consider the differential equation<br>dy<br>= y(y+ 1)2(2-y)<br>dt<br>a. Sketch the<br>vs. y graph.<br>b. Draw a sketch indicating the long-term behaviors of all the qualitatively different solutions,<br>including (in a different color, or bold) the solution with the initial condition y(0) = 1.<br>

Extracted text: 1. Consider the differential equation dy = y(y+ 1)2(2-y) dt a. Sketch the vs. y graph. b. Draw a sketch indicating the long-term behaviors of all the qualitatively different solutions, including (in a different color, or bold) the solution with the initial condition y(0) = 1.

Jun 04, 2022
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