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Beliebt Rechnen >

(dx)/(dt)=20-0.6*x

Lösung

\frac{d x}{d t} = 20 - 0.6 \cdot x

Lösung

x = - \frac{e ^{- 0.6 t - c_{1}}}{0.6} + \frac{20}{0.6}

Schritte zur Lösung

\frac{d x}{d t} = 20 - 0.6 \cdot x

Solve separable ODE:

x = - \frac{e ^{- 0.6 t - c_{1}}}{0.6} + \frac{20}{0.6}

x = - \frac{e ^{- 0.6 t - c_{1}}}{0.6} + \frac{20}{0.6}

Graph

Beliebte Beispiele

(dy)/(dx)=y(4x^2+3)

\frac{d y}{d x} = y (4 x^{2} + 3)

(dy)/(dx)=e^{2x-y},y(0)=0

\frac{d y}{d x} = e^{2 x - y}, y (0) = 0

dy=x(2ydx-xdy),y(2)=3

d y = x (2 y d x - x d y), y (2) = 3

(dy)/(dx)=y(4x^2+5)

\frac{d y}{d x} = y (4 x^{2} + 5)

x^'=(x)^{4(1)+2}(ln(t)+(0+2)te^t)

x^{^{'}} = (x)^{4 (1) + 2} (ln (t) + (0 + 2) t e^{t})