Question: 4. (a) Show that, for any constant C, y(t) = 1/ (Cet + 1) is a solution to the differential equation y' = y' -

4. (a) Show that, for any constant C, y(t) = 1/

4. (a) Show that, for any constant C, y(t) = 1/ (Cet + 1) is a solution to the differential equation y' = y' - y. (b) By picking the right C, find the solution to the initial-value problem y' = y - y, y (1) = -1

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