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Beliebt Rechnen >

1/2 y^'+10y=12

Lösung

\frac{1}{2} y^{^{'}} + 10 y = 12

Lösung

y = - \frac{e ^{- 20 t - c_{1}}}{5} + \frac{6}{5}

Schritte zur Lösung

\frac{1}{2} y^{'} (t) + 10 y = 12

Solve separable ODE:

y = - \frac{e ^{- 20 t - c_{1}}}{5} + \frac{6}{5}

y = - \frac{e ^{- 20 t - c_{1}}}{5} + \frac{6}{5}

Graph

Beliebte Beispiele

(dr)/(ds)=e^{r+s},r(1)=0

\frac{d r}{d s} = e^{r + s}, r (1) = 0

(dp}{dt}=kp(t)ln(\frac{4.5)/p)

\frac{d p}{d t} = k p (t) ln (\frac{4.5}{p})

y^'=(sqrt(x)+2)sqrt(y)

y^{^{'}} = (x + 2) y

(1-x^2)y^'-2y=0

(1 - x^{2}) y^{^{'}} - 2 y = 0

x=-0.014985(dx)/(dt)

x = - 0.014985 \frac{d x}{d t}