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Beliebt Rechnen >

y^{''}=x(y^')^2

Lösung

y^{^{''}} = x (y^{^{'}})^{2}

Lösung

y = - \frac{2 arctan ( \frac{1}{c _{1}} x )}{c _{1}} + c_{2}

Schritte zur Lösung

y^{''} (x) = x (y^{'} (x))^{2}

Solve using substitution:

y = - \frac{2 arctan ( \frac{1}{c _{1}} x )}{c _{1}} + c_{2}

y = - \frac{2 arctan ( \frac{1}{c _{1}} x )}{c _{1}} + c_{2}

Graph

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