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Beliebt Rechnen >

x^2y^'=y^2+5xy+4x^2

Lösung

x^{2} y^{^{'}} = y^{2} + 5 x y + 4 x^{2}

Lösung

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

Schritte zur Lösung

x^{2} y^{'} (x) = y^{2} + 5 x y + 4 x^{2}

Solve using substitution:

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

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

Graph

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