(dy)/(dx)= 1/3 y(8-y),y(0)=1

解答

\frac{d y}{d x} = \frac{1}{3} y (8 - y), y (0) = 1

\frac{8}{3} - \frac{y}{3}

求解步骤

给定

y (0) = 1

找到

\frac{1}{3} y (8 - y)

\frac{1}{3} y (8 - y) = \frac{1}{3} y (8 - y)

y : 1

y : 1

= \frac{1}{3} \cdot 1 \cdot (8 - y)

乘开

\frac{1}{3} \cdot 1 \cdot (8 - y) : \frac{8}{3} - \frac{y}{3}

= \frac{8}{3} - \frac{y}{3}

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