(dS)/(dt)=2-S/(10)

Lösung

\frac{d S}{d t} = 2 - \frac{S}{10}

S = - e^{\frac{- t - c _{1}}{10}} + 20

Schritte zur Lösung

\frac{d S}{d t} = 2 - \frac{S}{10}

Solve separable ODE:

S = - e^{\frac{- t - c _{1}}{10}} + 20

S = - e^{\frac{- t - c _{1}}{10}} + 20

x^{\frac{1}{2}} d y - y^{- \frac{3}{2}} d x = 0

x y + y^{^{'}} = 84 x

\frac{d y}{d t} = 20 y

y^{^{'}} e^{- y} = e^{t}

\frac{df}{d x} = - \frac{1}{f ( x )}