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Beliebt Rechnen >

sqrt(1-8x^2)y^'=x

Lösung

1 - 8 x^{2} y^{^{'}} = x

Lösung

y = - \frac{1}{8} 1 - 8 x^{2} + c_{1}

Schritte zur Lösung

1 - 8 x^{2} y^{'} (x) = x

Isoliere

y^{'} (x) : y^{'} (x) = \frac{x}{1 - 8 x ^{2}}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int \frac{x}{1 - 8 x ^{2}} d x

\int \frac{x}{1 - 8 x ^{2}} d x = - \frac{1}{8} 1 - 8 x^{2} + c_{1}

y = - \frac{1}{8} 1 - 8 x^{2} + c_{1}

Graph

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