Compute explicit soltuion with intial condition, Mathematics

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Compute explicit soltuion with intial condition

Let the differential equation dx/dt=x(x-5). First determine all equilibrium solutions, draw the phase diagram for differential equation, and find whether each of equilibrium solutions is stable. Compute explicit soltuion to dx/dt = x(x-5) with intial condition x(0)=6. Sketch the graph of the solution.

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