A direction field for the differential equation y = y(1 1/4y2) is shown. (a) Sketch the graphs

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A direction field for the differential equation y€™ = y(1 €“ 1/4y2) is shown.
(a) Sketch the graphs of the solutions that satisfy the given initial conditions.
(i) y(0) = 1 (ii) y(0) = €“ 1
(iii) y(0) = €“ 3 (iv) y(0) = 3
(b) Find all the equilibrium solutions.


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