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Beliebt Rechnen >

y^2dx+2x^2dy=0

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

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

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

(dy)/(dx)=xy^2,y(2)=-2/5

\frac{d y}{d x} = x y^{2}, y (2) = - \frac{2}{5}

(dx)/(dt)=0.04x+5000

\frac{d x}{d t} = 0.04 x + 5000

sqrt(x)(dy)/(dx)=e^{3y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{3 y + x}, x > 0

y^'=2sqrt(y),y(0)=0

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