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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?
64. Substitute y = aetcost + betsin t into y' = 2etcos t to find a particular solution.
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Calculus Volume 2
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