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Beliebt Rechnen >

x^2y^'-y-y^2=0

Lösung

x^{2} y^{^{'}} - y - y^{2} = 0

Lösung

y = \frac{e ^{c_{1}}}{e ^{\frac{1}{x}} - e ^{c_{1}}}

Schritte zur Lösung

x^{2} y^{'} (x) - y - y^{2} = 0

Solve separable ODE:

y = \frac{e ^{c_{1}}}{e ^{\frac{1}{x}} - e ^{c_{1}}}

y = \frac{e ^{c_{1}}}{e ^{\frac{1}{x}} - e ^{c_{1}}}

Graph

Beliebte Beispiele

(dy)/(dx)y=xe^{-6x}+6e^{-x}+x^7

\frac{d y}{d x} y = x e^{- 6 x} + 6 e^{- x} + x^{7}

derivative of x^2+y^2= derivative of 9

\frac{d}{d x} (x^{2} + y^{2}) = \frac{d}{d x} (9)

(dy)/(dx)=sqrt(y),y(1)=1

\frac{d y}{d x} = y, y (1) = 1

y=e^{3/(2x)}(dy)/(dx)

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

e^x(x+1)y^2dx+2xe^xy^1dy=0

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