I have this one question for my Mathematical Modelling unit Assignment 1 which I have been stuck on for hour 8+ hours (deadly serious 0.0).
dP/dt = (1/2)*P(4-P)) P(0) = 2
I try solving it as a separable DE and I get to;
P/(4-P) = A*e^(2t) (Starting to think that this part might be wrong too -.-)
From this point I have tried everything I know to try and solve for P(t)
I REALLYYYYYYY need some help with this one.
Hello, stripe501!
We have: .
Separate variables: .
Partial fractions: .
Integrate: .
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Multiply by 4: . .
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Exponentiate: . . . . . . . . .
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. . . . . . . . . . . . . . . . . . . . . . .[1]
We are given: . . . when
. .
. .
Substitute into [1]: .