(dx)/(dt)+x/(50)=4

Lösung

\frac{d x}{d t} + \frac{x}{50} = 4

x = - e^{\frac{- t - c _{1}}{50}} + 200

Schritte zur Lösung

\frac{d x}{d t} + \frac{x}{50} = 4

Solve separable ODE:

x = - e^{\frac{- t - c _{1}}{50}} + 200

x = - e^{\frac{- t - c _{1}}{50}} + 200

x^{5} (\frac{d y}{d x}) = 3 x^{2} 1 - y^{2}

x \frac{d y}{d x} = 1 - y^{2}

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

\frac{d v}{d t} = 7 - 7 \cdot v

x y^{^{'}} + \frac{y}{2} = 0