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Beliebt Rechnen >

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

Lösung

x^{2} y \frac{d y}{d x} + 2 x y^{2} = 0

Lösung

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

Schritte zur Lösung

x^{2} y \frac{d y}{d x} + 2 x y^{2} = 0

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy}{dx}=\frac{xsin(x))/y ,y(0)=-1

\frac{d y}{d x} = \frac{x sin ( x )}{y}, y (0) = - 1

\frac{d y}{d x} = a y

(dy)/(dx)=x*sqrt(y)

\frac{d y}{d x} = x \cdot y

x^2y^'-cos(2y)=1

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

(1+x^2)(dy)/(dx)+2xy=x

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