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Beliebt Rechnen >

(dy)/(dx)=(3x)/(y+x^2y)

Lösung

\frac{d y}{d x} = \frac{3 x}{y + x ^{2} y}

Lösung

y = 3 ln (1 + x^{2}) + c_{1}, y = - 3 ln (1 + x^{2}) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{3 x}{y + x ^{2} y}

Solve separable ODE:

y = 3 ln (1 + x^{2}) + c_{1}, y = - 3 ln (1 + x^{2}) + c_{1}

y = 3 ln (1 + x^{2}) + c_{1}, y = - 3 ln (1 + x^{2}) + c_{1}

Graph

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