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Popular >

(dP)/(dt)= P/5-(P^2)/(75),P(0)=5

Solution

\frac{d P}{d t} = \frac{P}{5} - \frac{P ^{2}}{75}, P (0) = 5

Solution

\frac{2}{3}

Solution steps

Find

\frac{P}{5} - \frac{P ^{2}}{75}

given

P (0) = 5

\frac{P}{5} - \frac{P ^{2}}{75} = \frac{P}{5} - \frac{P ^{2}}{75}

\frac{P}{5} : \frac{5}{5}

\frac{P ^{2}}{75} : \frac{5 ^{2}}{75}

= \frac{5}{5} - \frac{5 ^{2}}{75}

\frac{5}{5} - \frac{5 ^{2}}{75} = \frac{2}{3}

= \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is the (dP)/(dt)= P/5-(P^2)/(75),P(0)=5 ?
The (dP)/(dt)= P/5-(P^2)/(75),P(0)=5 is 2/3