Solve each equation:

Question:  1.  y ' + y = 3

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Question: 

2.  y ' + t y = 3 t

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Question: 

3.  y ' - 4 y = sin(2 t)

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Question: 

4.  y ' + y = e^t, y (0)  = 2

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Question: 

5.  y ' + 3 y = 3 + 2 t + e^t, y(1) = e^2

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Question: 

6.  The general solution to the equation y ' + p(t) y = g(t) is y = C e^(-t^2) + 1, t > 0.  What are the functions p(t) and g(t)?

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