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Beliebt Rechnen >

y^'-xy=1

Lösung

y^{^{'}} - x y = 1

Lösung

y = \frac{π erf ( \frac{x}{2} )}{2 e ^{- \frac{x ^{2}}{2}}} + c_{1} e^{\frac{x ^{2}}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{π erf ( \frac{x}{2} )}{2 e ^{- \frac{x ^{2}}{2}}} + c_{1} e^{\frac{x ^{2}}{2}}

y = \frac{π erf ( \frac{x}{2} )}{2 e ^{- \frac{x ^{2}}{2}}} + c_{1} e^{\frac{x ^{2}}{2}}

Beliebte Beispiele

limit as x approaches 9 of sqrt(x)-1

x \to 9 lim (x - 1)

fläche x^2-2,6-x^2

a re a x^{2} - 2, 6 - x^{2}

(dx)/(dt)=2+sqrt(x-2t+3)

\frac{d x}{d t} = 2 + x - 2 t + 3

derivative of e^{0.2}

\frac{d}{d x} (e^{0.2})

(\partial)/(\partial t)(e^{rt})

\frac{\partial}{\partial t} (e^{r t})