(ii) Check if the conditions of the existence-uniqueness theorem are satisfied for following initialvalue problem dy dt = y 2/3 , y(0) = 0. Then solve the above initial-value problem and compare it with what you obtained from the implementation of the existence-uniqueness theorem.  (iii) Consider the differential equation dy dt = αy − y 3 , where α is a real parameter. Find the equilibrium solutions, draw the phase line and determine their stability for each value of the parameter. Then draw the bifurcation diagram for the above differential equation.
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