Question 2 (30 marks) Consider the differential equation 1 dy - y(y + 6) = 8, y(0) = 0. 2 dt (1) (10 marks) Without solv

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Question 2 (30 marks) Consider the differential equation 1 dy - y(y + 6) = 8, y(0) = 0. 2 dt (1) (10 marks) Without solv

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Question 2 30 Marks Consider The Differential Equation 1 Dy Y Y 6 8 Y 0 0 2 Dt 1 10 Marks Without Solv 1
Question 2 30 Marks Consider The Differential Equation 1 Dy Y Y 6 8 Y 0 0 2 Dt 1 10 Marks Without Solv 1 (132.87 KiB) Viewed 27 times
Question 2 (30 marks) Consider the differential equation 1 dy - y(y + 6) = 8, y(0) = 0. 2 dt (1) (10 marks) Without solving the equation, determine the equilibrium points for the differential equation. Draw a direct-line vector field. Determine which equilibrium points are stable and which are not. (2) (10 marks) Without solving the equation, estimate the maximum time te such that a solution may exist. (3) (10 marks) Solve the equation.
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