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Beliebt Rechnen >

xy^2+sqrt(1+x^2)(dy)/(dx)=0

Lösung

x y^{2} + 1 + x^{2} \frac{d y}{d x} = 0

Lösung

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

Schritte zur Lösung

x y^{2} + 1 + x^{2} \frac{d y}{d x} = 0

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(d^6)/(dx^6)(x^{-3})

\frac{d ^{6}}{d x ^{6}} (x^{- 3})

(d^4)/(dx^4)(e^{1/x})

\frac{d ^{4}}{d x ^{4}} (e^{\frac{1}{x}})

derivative of |x-9|

\frac{d}{d x} (∣ x - 9 ∣)

y^{''}-2y^'+37y=0

y^{^{''}} - 2 y^{^{'}} + 37 y = 0

limit as x approaches 0+of (x^x-1)/x

x \to 0 + lim (\frac{x ^{x} - 1}{x})