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(2) A direction field for the differential equation y' = x cos Ty is shown. 0 2 X (a) Sketch the graphs of the solutions

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(2) A direction field for the differential equation y' = x cos Ty is shown. 0 2 X (a) Sketch the graphs of the solutions that satisfy the given initial conditions. (i) y(0) = 0 (ii) y(0) = 0.5 (iii) y(0) = 1 (iv) y(0) = 1.6 (b) Find all the equilibrium solutions

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