Question: 1. Consider the following initial value problems (a) Y'(t) = -Y(t) + sin(t) + cos(t), Y(0) = 1. (b) Y'(t) = [Y(t) - Y?(0)]/t, Y(1)

1. Consider the following initial value problems (a) Y'(t) = -Y(t) + sin(t) + cos(t), Y(0) = 1. (b) Y'(t) = [Y(t) - Y?(0)]/t, Y(1) =2. In each of the cases, find the general solution and the solution satisfying the given initial condition. 2. Check the conditioning of the initial value problems in Problem I (a) & (b)

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