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Beliebt Rechnen >

x^2y^'+y^2=0

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dP)/(dt)=7sqrt(Pt),P(1)=3

\frac{d P}{d t} = 7 Pt, P (1) = 3

(dy)/(dx)=(10-y)cos(x)

\frac{d y}{d x} = (10 - y) cos (x)

3(yx^2+y)y^'+sqrt(2+y^2)=0,y(1)=2

3 (y x^{2} + y) y^{^{'}} + 2 + y^{2} = 0, y (1) = 2

(dy}{dx}=\frac{3xsqrt(1+y^2))/y

\frac{d y}{d x} = \frac{3 x 1 + y ^{2}}{y}

(dy)/(dt)+2y=7,y(0)=1

\frac{d y}{d t} + 2 y = 7, y (0) = 1