Question: Check the solution of the autonomous differential equation, making sure that it also matches the initial condition. Check that x(t) = -1/2 + 3/2e2t is

Check the solution of the autonomous differential equation, making sure that it also matches the initial condition.
Check that x(t) = -1/2 + 3/2e2t is a solution of the differential equation dx/dt = 1 + 2x with initial condition x (0) = 1.

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