(dN)/(dt)=N(1-0.0002N)

解答

\frac{d N}{d t} = N (1 - 0.0002 N)

N = - \frac{e ^{t + c_{1}}}{1 - 0.0002 e ^{t + c_{1}}}

求解步骤

\frac{d N}{d t} = N (1 - 0.0002 N)

求解可分离方程:

N = - \frac{e ^{t + c_{1}}}{1 - 0.0002 e ^{t + c_{1}}}

N = - \frac{e ^{t + c_{1}}}{1 - 0.0002 e ^{t + c_{1}}}

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d er i v a t i v e y = x^{8}

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