1000y^'=5000-100y

Lösung

1000 y^{^{'}} = 5000 - 100 y

y = - e^{\frac{- t - c _{1}}{10}} + 50

Schritte zur Lösung

1000 y^{'} (t) = 5000 - 100 y

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{10}} + 50

y = - e^{\frac{- t - c _{1}}{10}} + 50

y^{^{'}} = 5 e^{(x - y)}

a y - b t y^{^{'}} = 0

\frac{d y}{x} - y \frac{d x}{x ^{2}} = 0

4 + 2 \cdot cot (y) \frac{d y}{d x} = 0

\frac{d S}{d t} = 0.03 - \frac{S}{360}