Question: (a) A direction field for the differential equation y' = y(y - 2)(y - 4) is shown. Sketch the graphs of the solutions that satisfy

(a) A direction field for the differential equation y' = y(y - 2)(y - 4) is shown. Sketch the graphs of the solutions that satisfy the given initial conditions.
(i) y(0) = 20.3

(ii) y(0) = 1
(iii) y(0) = 3

(iv) y(0) = 4.3
(b) If the initial condition is y(0) = c, for what values of c is finite? What are the equilibrium solutions?

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lim, y(t) 4 -----| ////| | \\\\lter \|////| |\\\\\ | . --\| ////||\\\\\ ----- -- -|/////|\\\\\ ----- \|/////| ll\\\| --\| ////||\\\\\+ --\|/////|\\\\\ | /- \|///// |\\\\\ | 7 ---- --- ----- ----|////| \|/////|\l\\| -| /////|\\\\\ | / ----- |///// \\\\\ \ --- 2.

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