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Beliebt Rechnen >

f^'(x)=f(x)(x)^{-1}(x)

Lösung

f^{^{'}} (x) = f (x) (x)^{- 1} (x)

Lösung

f (x) = e^{x + c_{1}}

Schritte zur Lösung

f^{'} (x) = f (x) x^{- 1} (x)

Solve separable ODE:

f (x) = e^{x + c_{1}}

f (x) = e^{x + c_{1}}

Graph

Beliebte Beispiele

(dy}{dx}=(\frac{y+1)/x)

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

(dy)/(dx)=y(10000-50x)

\frac{d y}{d x} = y (10000 - 50 x)

81x^2+2y*(dy)/(dx)=0

81 x^{2} + 2 y \cdot \frac{d y}{d x} = 0

y^'+1/2 (x-2)y^2=0,y(6)= 1/10

y^{^{'}} + \frac{1}{2} (x - 2) y^{2} = 0, y (6) = \frac{1}{10}

y^'-5y=0,y(0)=3

y^{^{'}} - 5 y = 0, y (0) = 3