(dP)/(dt)=(9/240)P-1/4800 (P)^2

Lösung

\frac{d P}{d t} = (\frac{9}{240}) P - \frac{1}{4800} (P)^{2}

P = - \frac{180 e ^{\frac{3 t + 3 c _{1}}{80}}}{1 - e ^{\frac{3 ( c _{1} + t )}{80}}}

Schritte zur Lösung

\frac{d P}{d t} = (\frac{9}{240}) P - \frac{1}{4800} (P)^{2}

Solve separable ODE:

P = - \frac{180 e ^{\frac{3 t + 3 c _{1}}{80}}}{1 - e ^{\frac{3 ( c _{1} + t )}{80}}}

P = - \frac{180 e ^{\frac{3 t + 3 c _{1}}{80}}}{1 - e ^{\frac{3 ( c _{1} + t )}{80}}}

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