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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative of x^3+7x-1

\frac{d}{d x} (x^{3} + 7 x - 1)

derivative f(x)=x(x^2+6)

d er i v a t i v e f (x) = x (x^{2} + 6)

integral of-2sin^3(x)cos^2(x)

\int - 2 sin^{3} (x) cos^{2} (x) d x

derivative of e^{x+sqrt(x^2+1)}

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

derivative sqrt(x-8)

d er i v a t i v e x - 8