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Popular >

x^'(t)=(1/3 x)(1-x/3),x(0)=6

Solution

x^{^{'}} (t) = (\frac{1}{3} x) (1 - \frac{x}{3}), x (0) = 6

Solution

2 - \frac{2 x}{3}

Solution steps

Find

(\frac{1}{3} x) (1 - \frac{x}{3})

given

x (0) = 6

(\frac{1}{3} x) (1 - \frac{x}{3}) = (\frac{1}{3} x) (1 - \frac{x}{3})

x : 6

\frac{x}{3} : \frac{6}{3}

= \frac{1}{3} \cdot 6 (1 - \frac{x}{3})

Expand

\frac{1}{3} \cdot 6 (1 - \frac{x}{3}) : 2 - \frac{2 x}{3}

= 2 - \frac{2 x}{3}

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Frequently Asked Questions (FAQ)

What is the x^'(t)=(1/3 x)(1-x/3),x(0)=6 ?
The x^'(t)=(1/3 x)(1-x/3),x(0)=6 is 2-(2x)/3