(dp)/(dx)=0.02(3000-p)

Lösung

\frac{d p}{d x} = 0.02 (3000 - p)

p = - e^{- \frac{x}{50} - c_{1}} + 3000

Schritte zur Lösung

\frac{d p}{d x} = 0.02 (3000 - p)

Solve separable ODE:

p = - e^{- \frac{x}{50} - c_{1}} + 3000

p = - e^{- \frac{x}{50} - c_{1}} + 3000

x^{2} y^{^{'}} - y^{2} = 0

\frac{d x}{d t} = r (1 - \frac{x}{k})

y \cdot \frac{d y}{d x} + 2 x - 1 = 0

2 \frac{d y}{d x} = - 4 y + 5

\frac{d y}{d x} = x y, x (1) = 4