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' + (1/2)y = 2 cos t, y(t) = (4/5) cos t + (8/5) sin t + Ce–(1/2)t, C = –5, –4,…, 5
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