What is the (dP)/(dt)=(9P)/(900)(9-P),P(0)=4 ?

The (dP)/(dt)=(9P)/(900)(9-P),P(0)=4 is 9/25-P/(25)

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

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

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

Solution steps

Find

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

given

P (0) = 4

\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)

Expand

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

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

- 12 sin (2 x)

\int x^{3} \cdot 9 - x^{2} d x

\frac{d}{d x} ((\frac{3 x}{x + 1})^{2})

2 x^{3}

\frac{d}{d x} (e^{x t})

What is the (dP)/(dt)=(9P)/(900)(9-P),P(0)=4 ?
The (dP)/(dt)=(9P)/(900)(9-P),P(0)=4 is 9/25-P/(25)