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D Question 4 10 pts Consider the Cauchy problem (1 - t)y" + ty' - y=0, y(0) = 3, ( y' (0) = 2. 1) Discuss existence, uniqueness and interval of existence of the solution. 2) Look for a power series solution and find the recurrence relation for the coefficients an. 3) Find the first 5 non-zero terms in y1. Find the complete expression for y2