In Exercise, show that the given solution is a general solution of the differential equation. Use a computer or calculator to sketch the solutions for the given values of the arbitrary constant. Experiment with different intervals for t until you have a plot that shows what you consider to be the most important behavior of the family.
y' + y = 2t, y(t) = 2t – 2 + Ce–t, C = –3, –2, …, 3
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