Question: Problem 1 [4 pts] Find the longest interval on which the solution of the initial value problem uniquelyr exists. (t+1)y'+t2y= 2t+1, y[0)=5 Problem 2 [6

Problem 1 [4 pts] Find the longest interval on which the solution of the initial value problem uniquelyr exists. (t+1)y'+t2y= 2t+1, y[0)=5 Problem 2 [6 pts] Find the equilibrium solutions and determine the asymptotic stability. Draw the phase line and sketch several example solution curves. % = y - 2M2? + 3)

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