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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} + 1, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} + 1, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} + 1

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} + 1, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} + 1

Graph

Beliebte Beispiele

sqrt(1-y^2)(dx)-sqrt(1+x^2)(dy)=0

1 - y^{2} (d x) - 1 + x^{2} (d y) = 0

1= 5/3 y+(dy)/(dx)

1 = \frac{5}{3} y + \frac{d y}{d x}

x \cdot d y - 2 y \cdot d x = 0

(dy}{dx}=\frac{4xsqrt(1+y^2))/y

\frac{d y}{d x} = \frac{4 x 1 + y ^{2}}{y}

y^'=xy+x,y(0)=2

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