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Beliebt Rechnen >

y*(dy)/(dx)-x=5y^2

Lösung

y \cdot \frac{d y}{d x} - x = 5 y^{2}

Lösung

y = \frac{- 10 x - 1 + 50 c _{1} e ^{10 x}}{5 2}, y = - \frac{- 10 x - 1 + 50 c _{1} e ^{10 x}}{5 2}

Schritte zur Lösung

y \cdot \frac{d y}{d x} - x = 5 y^{2}

Solve Bernoulli ODE:

y = \frac{- 10 x - 1 + 50 c _{1} e ^{10 x}}{5 2}, y = - \frac{- 10 x - 1 + 50 c _{1} e ^{10 x}}{5 2}

y = \frac{- 10 x - 1 + 50 c _{1} e ^{10 x}}{5 2}, y = - \frac{- 10 x - 1 + 50 c _{1} e ^{10 x}}{5 2}

Graph

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