(dS)/(dt)=0.04-1/600 S

Lösung

\frac{d S}{d t} = 0.04 - \frac{1}{600} S

S = - \frac{e ^{\frac{- t - c _{1}}{600}}}{0.00166 \dots} + \frac{0.04}{0.00166 \dots}

Schritte zur Lösung

\frac{d S}{d t} = 0.04 - \frac{1}{600} S

Solve separable ODE:

S = - \frac{e ^{\frac{- t - c _{1}}{600}}}{0.00166 \dots} + \frac{0.04}{0.00166 \dots}

S = - \frac{e ^{\frac{- t - c _{1}}{600}}}{0.00166 \dots} + \frac{0.04}{0.00166 \dots}

\frac{d y}{d t} + \frac{t}{y ( t ^{2} - 1 )} = 0

x \frac{d x}{d y} = 4 y

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

d y - (y - 1)^{2} \cdot d x = 0

- 10 + 4 x + 5 \frac{d x}{d t} = 0