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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

Find

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

given

y (0) = 1

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

y : 1

y : 1

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

Expand

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

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

Graph

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Frequently Asked Questions (FAQ)

What is the (dy)/(dx)= 1/3 y(8-y),y(0)=1 ?
The (dy)/(dx)= 1/3 y(8-y),y(0)=1 is 8/3-y/3