(dP)/(dt)=(9P)/(900)(9-P),P(0)=4

解答

\frac{d P}{d t} = \frac{9 P}{900} (9 - P), P (0) = 4

\frac{9}{25} - \frac{P}{25}

求解步骤

给定

P (0) = 4

找到

\frac{9 P}{900} (9 - P)

\frac{9 P}{900} (9 - P) = \frac{9 P}{900} (9 - P)

\frac{9 P}{900} : \frac{9 \cdot 4}{900}

P : 4

= \frac{9 \cdot 4}{900} (9 - P)

乘开

\frac{9 \cdot 4}{900} (9 - P) : \frac{9}{25} - \frac{P}{25}

= \frac{9}{25} - \frac{P}{25}

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