(dp)/(dt)=0.5p-450

Lösung

\frac{d p}{d t} = 0.5 p - 450

p = 2 e^{\frac{t + c _{1}}{2}} + 900

Schritte zur Lösung

\frac{d p}{d t} = 0.5 p - 450

Solve separable ODE:

p = 2 e^{\frac{t + c _{1}}{2}} + 900

p = 2 e^{\frac{t + c _{1}}{2}} + 900

\frac{d P}{d t} = 0.09 P (1 - \frac{P}{200})

\frac{d y}{d x} = \frac{12 x}{y}

\frac{d y}{d t} = - 0.2 y

P^{^{'}} = 0.2 P

x^{^{'}} = k x