Science:Math Exam Resources/Courses/MATH100 B/December 2023/Question 29(a)/Statement

Consider the differential equation from questions 20 and 21:

$$y'=-y(y-2)(y-10).$$

(a) Using the phase line from question 20, sketch the solution to the differential equation for each of the initial conditions ${\textstyle y(0)=-1}$, ${\textstyle y(0)=3}$ on the same graph. Any inflection points should be visible, but can be positioned roughly.