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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - \frac{x ^{2}}{3} + \frac{4}{3} x + c_{1}, y = - - \frac{x ^{2}}{3} + \frac{4}{3} x + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{x ^{2}}{3} + \frac{4}{3} x + c_{1}, y = - - \frac{x ^{2}}{3} + \frac{4}{3} x + c_{1}

y = - \frac{x ^{2}}{3} + \frac{4}{3} x + c_{1}, y = - - \frac{x ^{2}}{3} + \frac{4}{3} x + c_{1}

Graph

Beliebte Beispiele

y^{^{'}} = (2 - y) (1 - y)

(dx)/(dt)=1-x/(40)

\frac{d x}{d t} = 1 - \frac{x}{40}

(dy)/(dx)=2e^{x-y},y(0)=ln(5)

\frac{d y}{d x} = 2 e^{x - y}, y (0) = ln (5)

y^'=e^{2y}sin(x),y(0)=0

y^{^{'}} = e^{2 y} sin (x), y (0) = 0

(dy)/y =-(2x)/(x^2-1)dx

\frac{d y}{y} = - \frac{2 x}{x ^{2} - 1} d x