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Recall that a family of solutions includes solutions to a differential equation that differ by a constant. For the following problems, use your calculator to graph a family of solutions to the given differential equation. Use initial conditions from y(t = 0) = -10 to y(t = 0) = 10 increasing by 2. Is there some critical point where the behavior of the solution begins to change?
62. Substitute y = a cos(2t) + b sin(2t) into y' + y = 4sin(2t) to find a particular solution.
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