Mathematics - Differential Equations - Separating the Variab
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Separating Variables -
The problem is:
dP/dt = P - P^2
The given answer is:
P = ce^t/1+ce^t
How do I get to the final answer?
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Solution Summary
The expert examines mathematics differential equations using separating variables. A Complete, Neat and Step-by-step Solution is provided.
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dP/dt = P - P^2
dP/(P - P^2) = dt
dP/{P(1 - P)} = dt
By partial fraction decomposition, we get ...
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