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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}, y = - \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}, y = - \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}

y = \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}, y = - \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}

Graph

Beliebte Beispiele

yy^'=(e^x)/(1+e^x),y(0)=1

y y^{^{'}} = \frac{e ^{x}}{1 + e ^{x}}, y (0) = 1

(dy)/(dx)=(y+1)(x+1)cos(x^2+2x)

\frac{d y}{d x} = (y + 1) (x + 1) cos (x^{2} + 2 x)

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

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

y^'=3t^2*e^{(y-2)}

y^{^{'}} = 3 t^{2} \cdot e^{(y - 2)}

y^{^{'}} - 3 y = 79