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Beliebt Rechnen >

(dx)/(dt)=15-(13x)/(50)

Lösung

\frac{d x}{d t} = 15 - \frac{13 x}{50}

Lösung

x = - \frac{e ^{\frac{- 13 t - c _{1}}{50}}}{13} + \frac{750}{13}

Schritte zur Lösung

\frac{d x}{d t} = 15 - \frac{13 x}{50}

Solve separable ODE:

x = - \frac{e ^{\frac{- 13 t - c _{1}}{50}}}{13} + \frac{750}{13}

x = - \frac{e ^{\frac{- 13 t - c _{1}}{50}}}{13} + \frac{750}{13}

Graph

Beliebte Beispiele

yy^'=2t^3,y(0)=2

y y^{^{'}} = 2 t^{3}, y (0) = 2

(dx)/(dt)=(-2x)/(30+t)

\frac{d x}{d t} = \frac{- 2 x}{30 + t}

3y^2(x-3)(dy)/(dx)=k

3 y^{2} (x - 3) \frac{d y}{d x} = k

(dx)/(dy)=tan(x)

\frac{d x}{d y} = tan (x)

y^'=(e^{-x})/(sin(y)),y(0)=1

y^{^{'}} = \frac{e ^{- x}}{sin ( y )}, y (0) = 1