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Beliebt Rechnen >

(1-2/y+x)(dy)/(dx)+y=2x-1

Lösung

(1 - \frac{2}{y} + x) \frac{d y}{d x} + y = 2 x - 1

Lösung

y = \frac{2 W ( \frac{- x - 1}{2 e ^{\frac{x ^{2} - x + c _{1}}{2}}} )}{- x - 1}

Schritte zur Lösung

(1 - \frac{2}{y} + x) \frac{d y}{d x} + y = 2 x - 1

Solve exact ODE:

y = \frac{2 W ( \frac{- x - 1}{2 e ^{\frac{x ^{2} - x + c _{1}}{2}}} )}{- x - 1}

y = \frac{2 W ( \frac{- x - 1}{2 e ^{\frac{x ^{2} - x + c _{1}}{2}}} )}{- x - 1}

Beliebte Beispiele

integral from-1 to 1 of (e^x)^2

\int_{- 1}^{1} (e^{x})^{2} d x

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\int \frac{1}{5 - x ^{2}} d x

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f^{^{'}} (x) = x^{2} e^{x^{2}}