(a) A direction ield for the differential equation y9 ys y

Chapter , Problem 1

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(a) A direction ield for the differential equation y9 ys y 2 2ds y 2 4d is shown. Sketch the graphs of the solutions that satisfy the given initial conditions. (i) ys0d 20.3 (ii) ys0d 1 (iii) ys0d 3 (iv) ys0d 4.3 (b) If the initial condition is ys0d c, for what values of c is limtl` ystd inite? What are the equilibrium solutions?

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