(dx)/(dt)=40-x/(100)

Lösung

\frac{d x}{d t} = 40 - \frac{x}{100}

x = - e^{\frac{- t - c _{1}}{100}} + 4000

Schritte zur Lösung

\frac{d x}{d t} = 40 - \frac{x}{100}

Solve separable ODE:

x = - e^{\frac{- t - c _{1}}{100}} + 4000

x = - e^{\frac{- t - c _{1}}{100}} + 4000

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

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

y^{^{'}} = \frac{y}{x} - y, y (1) = \frac{1}{e}

e^{2 x} y^{^{'}} = x cos^{2} (y)

\frac{d v}{d t} = 2 v