(dx)/(dt)=(100-x)/(10)

Lösung

\frac{d x}{d t} = \frac{100 - x}{10}

x = - e^{\frac{- t - c _{1}}{10}} + 100

Schritte zur Lösung

\frac{d x}{d t} = \frac{100 - x}{10}

Solve separable ODE:

x = - e^{\frac{- t - c _{1}}{10}} + 100

x = - e^{\frac{- t - c _{1}}{10}} + 100

(\frac{df}{d y}) f (y) = e^{- y}

4 y^{3} \frac{d y}{d x} - 5 x^{2} + 3 x = 0

y ln (x) \frac{d x}{d y} = (\frac{y + 1}{x})

t^{^{'}} + t = 0

3 y^{2} \frac{d y}{d x} = 5 x