An epidemic follows dIdt=kI(N−I)\frac{dI}{dt} = kI(N-I)dtdI=kI(N−I). If N=1000,I(0)=10,I(1)=100N=1000, I(0)=10, I(1)=100N=1000,I(0)=10,I(1)=100, what is I(2)I(2)I(2)?
500500500
1000⋅e0.9k9+e0.9k1000 \cdot \frac{e^{0.9k}}{9 + e^{0.9k}}1000⋅9+e0.9ke0.9k
250250250
1000⋅e2k99+e2k1000 \cdot \frac{e^{2k}}{99 + e^{2k}}1000⋅99+e2ke2k