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Draw the direction field

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Reference no: EM131416941

Let y' = y(2 - y).

(a) Draw the direction field

(b) Without solving the equation determine lim t→∞y(t), when y(t) is a solution to the above ODE with

y(0) = 0

y(0) = 2

y(0) = -1

(c) Find (explicitly) the general solution to the above equation

Reference no: EM131416941

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