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Beliebt Rechnen >

(df)/(dx)=1-(r)f(x)

Lösung

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

Lösung

f (x) = - \frac{e ^{- r x - c_{1} r}}{r} + \frac{1}{r}

Schritte zur Lösung

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

Solve separable ODE:

f (x) = - \frac{e ^{- r x - c_{1} r}}{r} + \frac{1}{r}

f (x) = - \frac{e ^{- r x - c_{1} r}}{r} + \frac{1}{r}

Graph

Beliebte Beispiele

(dz)/(dt)=6te^{4z}

\frac{d z}{d t} = 6 t e^{4 z}

y^'-5y=8,e^{5x}y(0)=0

y^{^{'}} - 5 y = 8, e^{5 x} y (0) = 0

(dx)/(dt)=2xsqrt(x)

\frac{d x}{d t} = 2 x x

8x(dy)/(dx)=-1/(y^3sqrt(1+x))

8 x \frac{d y}{d x} = - \frac{1}{y ^{3} 1 + x}

(dy)/(dt)+e^ty=24e^t

\frac{d y}{d t} + e^{t} y = 24 e^{t}