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Beliebt Rechnen >

(x^2+3xy+y^2)dx-x^2dy=0

Lösung

(x^{2} + 3 x y + y^{2}) d x - x^{2} d y = 0

Lösung

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

Schritte zur Lösung

(x^{2} + 3 x y + y^{2}) d x - x^{2} d y = 0

Solve using substitution:

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

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

Graph

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