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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{2 (\frac{1}{4} l n (4 x^{2} - 12 x + 8) - \frac{3}{4} l n (\frac{x - 1}{x - 2})) + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{2 (\frac{1}{4} l n (4 x^{2} - 12 x + 8) - \frac{3}{4} l n (\frac{x - 1}{x - 2})) + c_{1}}

y = e^{2 (\frac{1}{4} l n (4 x^{2} - 12 x + 8) - \frac{3}{4} l n (\frac{x - 1}{x - 2})) + c_{1}}

Graph

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